Pith Number

pith:QNCJJMDE

pith:2012:QNCJJMDEN44SSDKVUB22QPAOEH

not attested not anchored not stored refs pending

Einstein's Equations, Cosmology and Astrophysics

Paul S. Wesson

arxiv:1208.3433 v1 · 2012-08-15 · 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{QNCJJMDEN44SSDKVUB22QPAOEH}

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	2026-05-18T03:48:35.912549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

834494b0646f39290d55a075a83c0e21d3a8ae7aecb929416af96d788a92417c

Aliases

arxiv: 1208.3433 · arxiv_version: 1208.3433v1 · doi: 10.48550/arxiv.1208.3433 · pith_short_12: QNCJJMDEN44S · pith_short_16: QNCJJMDEN44SSDKV · pith_short_8: QNCJJMDE

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/QNCJJMDEN44SSDKVUB22QPAOEH \
  | 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: 834494b0646f39290d55a075a83c0e21d3a8ae7aecb929416af96d788a92417c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5232349e0974840fb4f79e40d3bdccb01f9c1ffbfdc001122bec7ddfa13a2cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-15T01:11:28Z",
    "title_canon_sha256": "a42c31d2235eeaf1bf029f36eedf5d783ce1bafda94189e924c8684f20db543f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3433",
    "kind": "arxiv",
    "version": 1
  }
}