Pith Number

pith:N4WA3V4W

pith:2011:N4WA3V4WF2HOUMJKXV3UZYXAAU

not attested not anchored not stored refs pending

Physical causes of energy-density inhomogenization and stability of energy-density homogeneity in relativistic self--gravitating fluids

L. Herrera

arxiv:1101.1514 v3 · 2011-01-07 · 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{N4WA3V4WF2HOUMJKXV3UZYXAAU}

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	2026-05-18T02:04:11.756612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f2c0dd7962e8eea312abd774ce2e0051198c47f4aac5deb1798f807099539d7

Aliases

arxiv: 1101.1514 · arxiv_version: 1101.1514v3 · doi: 10.48550/arxiv.1101.1514 · pith_short_12: N4WA3V4WF2HO · pith_short_16: N4WA3V4WF2HOUMJK · pith_short_8: N4WA3V4W

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/N4WA3V4WF2HOUMJKXV3UZYXAAU \
  | 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: 6f2c0dd7962e8eea312abd774ce2e0051198c47f4aac5deb1798f807099539d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88ed1692dc39b0db773155424d054a588afbf445e83e51bc575620215754ed5f",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-01-07T20:03:03Z",
    "title_canon_sha256": "9b41fba9372ac03ef388802e08ff9e29b4f22af02f13e44d86839a616dc7a4fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1514",
    "kind": "arxiv",
    "version": 3
  }
}