Pith Number

pith:U4RR3CBP

pith:2026:U4RR3CBP4XARFT2PKS5D3CJ3YM

not attested not anchored not stored refs pending

A Centrality Measure Using Magnitude Homology

Bastian Rieck, Nadja H\"ausermann

arxiv:2607.16377 v1 · 2026-07-17 · math.AT · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4RR3CBP4XARFT2PKS5D3CJ3YM}

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.

Receipt and verification

First computed	2026-07-21T00:20:14.815407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7231d882fe5c112cf4f54ba3d893bc31835742f1c5371ca28e90942d3dfbc7f

Aliases

arxiv: 2607.16377 · arxiv_version: 2607.16377v1 · doi: 10.48550/arxiv.2607.16377 · pith_short_12: U4RR3CBP4XAR · pith_short_16: U4RR3CBP4XARFT2P · pith_short_8: U4RR3CBP

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/U4RR3CBP4XARFT2PKS5D3CJ3YM \
  | 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: a7231d882fe5c112cf4f54ba3d893bc31835742f1c5371ca28e90942d3dfbc7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9cc323ecec72c8f1f1162df609064d1dc1f4aaadd098dc6667c6e26e677782f",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-17T15:49:29Z",
    "title_canon_sha256": "70b035cf770fced6499ddf88fed82888b54362b6450a2c521ac0ceb0aef4ff2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16377",
    "kind": "arxiv",
    "version": 1
  }
}