Pith Number

pith:6MG4RJNJ

pith:2013:6MG4RJNJ5TR7KYEXRJFF2NUIOF

not attested not anchored not stored refs pending

Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web

Bernard J.T. Jones, Bob Eldering, Changbom Park, E. G. Patrick Bos, Eline ten Have, Gert Vegter, Herbert Edelsbrunner, Job Feldbrugge, Johan Hidding, Manuel Caroli, Matti van Engelen, Monique Teillaud, Nico Kruithof, Pratyush Pranav, Rien van de Weygaert, Wojciech A. Hellwing

arxiv:1306.3640 v1 · 2013-06-16 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MG4RJNJ5TR7KYEXRJFF2NUIOF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information

Receipt and verification

First computed	2026-05-18T03:19:56.167937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f30dc8a5a9ece3f560978a4a5d3688716afbd36b54cf95fb83e10cb2f5c3380a

Aliases

arxiv: 1306.3640 · arxiv_version: 1306.3640v1 · doi: 10.48550/arxiv.1306.3640 · pith_short_12: 6MG4RJNJ5TR7 · pith_short_16: 6MG4RJNJ5TR7KYEX · pith_short_8: 6MG4RJNJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6MG4RJNJ5TR7KYEXRJFF2NUIOF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f30dc8a5a9ece3f560978a4a5d3688716afbd36b54cf95fb83e10cb2f5c3380a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c31bdfa72db8bcf8ea154943bc5d7f4c8de679ee5d77a092fd72579017f9be0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-06-16T08:08:23Z",
    "title_canon_sha256": "6b3f687a6fa823b171d5ba032c83dc4fd1e491e402e079eb8ae8e74fc18fa82a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3640",
    "kind": "arxiv",
    "version": 1
  }
}