Pith Number

pith:Y7ODEGBN

pith:2013:Y7ODEGBNZ3WYRK7IIB4J2IDRSI

not attested not anchored not stored refs pending

Interacting photon-baryon fluid, warm dark matter and the first acoustic peak

Alan M. Velasquez-Toribio, Ilya L. Shapiro, Julio.C. Fabris, Winfried Zimdahl

arxiv:1312.1937 v1 · 2013-12-06 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7ODEGBNZ3WYRK7IIB4J2IDRSI}

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	2026-05-18T01:45:57.757846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7dc32182dceed88abe840789d20719229373f40dcf4ff24a33329049a1e9637

Aliases

arxiv: 1312.1937 · arxiv_version: 1312.1937v1 · doi: 10.48550/arxiv.1312.1937 · pith_short_12: Y7ODEGBNZ3WY · pith_short_16: Y7ODEGBNZ3WYRK7I · pith_short_8: Y7ODEGBN

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/Y7ODEGBNZ3WYRK7IIB4J2IDRSI \
  | 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: c7dc32182dceed88abe840789d20719229373f40dcf4ff24a33329049a1e9637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cc91ff79a61f2b0df577da65dc76130b6907299b4957f0031ed75c103876fd2",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-12-06T17:32:01Z",
    "title_canon_sha256": "85acdf1da98c1819b0a359e2b28ffaedb4e212060c95c490925a1797f51c20f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1937",
    "kind": "arxiv",
    "version": 1
  }
}