Pith Number

pith:GR2IZHKV

pith:2011:GR2IZHKV2DCMQXAJTQZBBSVKM3

not attested not anchored not stored refs pending

Momentum of cosmological acoustic field

Andrzej Woszczyna, Wojciech Czaja, Zdzislaw A. Golda

arxiv:1103.1506 v1 · 2011-03-08 · 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{GR2IZHKV2DCMQXAJTQZBBSVKM3}

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	2026-05-18T04:27:15.720287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34748c9d55d0c4c85c099c3210caaa66d4be940f6d4856afbacf37b366d71c2c

Aliases

arxiv: 1103.1506 · arxiv_version: 1103.1506v1 · doi: 10.48550/arxiv.1103.1506 · pith_short_12: GR2IZHKV2DCM · pith_short_16: GR2IZHKV2DCMQXAJ · pith_short_8: GR2IZHKV

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/GR2IZHKV2DCMQXAJTQZBBSVKM3 \
  | 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: 34748c9d55d0c4c85c099c3210caaa66d4be940f6d4856afbacf37b366d71c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7761487660d353fd559943635a71ffbd2d610025b7c077101395b628b9c05ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-03-08T12:39:30Z",
    "title_canon_sha256": "b2ed0402b4904d8c2b3b30b6faf3c494a4d3ae29b2be1432ab27f82dd6fac36f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1506",
    "kind": "arxiv",
    "version": 1
  }
}