Pith Number

pith:4PDF5LXS

pith:1997:4PDF5LXSUCCW3PGS2MJEHXML3S

not attested not anchored not stored refs pending

Ruling out a critical density baryonic universe

Michael Birkel, Subir Sarkar (University of Oxford)

arxiv:hep-ph/9705331 v1 · 1997-05-15 · hep-ph · astro-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{4PDF5LXSUCCW3PGS2MJEHXML3S}

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	2026-05-18T04:28:37.570376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3c65eaef2a0856dbcd2d31243dd8bdcb1be04a87017ef57b0133603461dac62

Aliases

arxiv: hep-ph/9705331 · arxiv_version: hep-ph/9705331v1 · doi: 10.48550/arxiv.hep-ph/9705331 · pith_short_12: 4PDF5LXSUCCW · pith_short_16: 4PDF5LXSUCCW3PGS · pith_short_8: 4PDF5LXS

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/4PDF5LXSUCCW3PGS2MJEHXML3S \
  | 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: e3c65eaef2a0856dbcd2d31243dd8bdcb1be04a87017ef57b0133603461dac62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dd3d4693a059849b538957282f11144f5a68161ee206445d91e3e7c2b3c4541",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-05-15T19:29:53Z",
    "title_canon_sha256": "6731ea4e90ac198dcfc799d95eab9973758bd0bc1826b049d0589d48a60f0a6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9705331",
    "kind": "arxiv",
    "version": 1
  }
}