Pith Number

pith:NNCC7ZWY

pith:2005:NNCC7ZWYX2LTFDJ46XSR3MPAIA

not attested not anchored not stored refs pending

Relativistic conservation laws and integral constraints for large cosmological perturbations

Donald Lynden-Bell, Jiri Bicak, Joseph Katz

arxiv:gr-qc/0504041 v1 · 2005-04-09 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNCC7ZWYX2LTFDJ46XSR3MPAIA}

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

2 papers in Pith

The Role of the Volume in Black Hole Thermodynamics

Angular momentum of vacuum bubbles in a first-order phase transition

Receipt and verification

First computed	2026-07-04T16:55:12.244475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b442fe6d8be97328d3cf5e51db1e040292b27943c4852d926ab8b13c846cac1

Aliases

arxiv: gr-qc/0504041 · arxiv_version: gr-qc/0504041v1 · doi: 10.48550/arxiv.gr-qc/0504041 · pith_short_12: NNCC7ZWYX2LT · pith_short_16: NNCC7ZWYX2LTFDJ4 · pith_short_8: NNCC7ZWY

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/NNCC7ZWYX2LTFDJ46XSR3MPAIA \
  | 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: 6b442fe6d8be97328d3cf5e51db1e040292b27943c4852d926ab8b13c846cac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a397007ba0493313ec6be9ff0fc8698a873d2e5738ad4d7eaab067e4073f4cba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-04-09T15:32:36Z",
    "title_canon_sha256": "dc9e387363ff1ffe14ba57df079b0cb467b4d471a054415bb5fffc1950ab2a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0504041",
    "kind": "arxiv",
    "version": 1
  }
}