Pith Number

pith:GKMBWFOU

pith:2010:GKMBWFOUNCT2UDVVATPTITVGGL

not attested not anchored not stored refs pending

Dynamical instability and the expansion-free condition

G. Le Denmat, L. Herrera, N. O. Santos

arxiv:1010.1518 v2 · 2010-10-07 · gr-qc · 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{GKMBWFOUNCT2UDVVATPTITVGGL}

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	2026-05-18T03:57:50.695424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32981b15d468a7aa0eb504df344ea632f364be28e0e1511af0a9d73c18c320c5

Aliases

arxiv: 1010.1518 · arxiv_version: 1010.1518v2 · doi: 10.48550/arxiv.1010.1518 · pith_short_12: GKMBWFOUNCT2 · pith_short_16: GKMBWFOUNCT2UDVV · pith_short_8: GKMBWFOU

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/GKMBWFOUNCT2UDVVATPTITVGGL \
  | 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: 32981b15d468a7aa0eb504df344ea632f364be28e0e1511af0a9d73c18c320c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6976375a22254652639a1c9134967458356056491cd283418c3f99cea1817088",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-07T19:20:09Z",
    "title_canon_sha256": "452e8ce5482053efe96f5019376dca31b2a2fd637f21a809b419d8789785886e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1518",
    "kind": "arxiv",
    "version": 2
  }
}