Pith Number

pith:GRPL6B7Z

pith:2010:GRPL6B7Z7ZGZKLGYQTK4GSIZYW

not attested not anchored not stored refs pending

The persistent cosmic web and its filamentary structure II: Illustrations

Christophe Pichon, Hajime Kawahara, Thierry Sousbie

arxiv:1009.4014 v1 · 2010-09-21 · astro-ph.CO · math-ph · math.MP · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRPL6B7Z7ZGZKLGYQTK4GSIZYW}

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

Cosmic filaments confirm unexplained CMB temperature decrements in two independent redshift ranges

Receipt and verification

First computed	2026-05-18T02:05:19.396814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345ebf07f9fe4d952cd884d5c34919c5ba050323291c846a68b6fe348fca6d53

Aliases

arxiv: 1009.4014 · arxiv_version: 1009.4014v1 · doi: 10.48550/arxiv.1009.4014 · pith_short_12: GRPL6B7Z7ZGZ · pith_short_16: GRPL6B7Z7ZGZKLGY · pith_short_8: GRPL6B7Z

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/GRPL6B7Z7ZGZKLGYQTK4GSIZYW \
  | 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: 345ebf07f9fe4d952cd884d5c34919c5ba050323291c846a68b6fe348fca6d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "663b7d99021905fdaa4b26851c558ea67b4a752800788ec7b079185d5fc485d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-09-21T07:45:24Z",
    "title_canon_sha256": "898edeca2092947623b02e18afd843d38f4ceb487c2b9cbc2eda08baa0648c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4014",
    "kind": "arxiv",
    "version": 1
  }
}