Pith Number

pith:63HHWEKG

pith:2003:63HHWEKGTXYZIWPMPJJR32A4FV

not attested not anchored not stored refs pending

Linear Perturbations in Brane Gas Cosmology

Robert Brandenberger, Scott Watson

arxiv:hep-th/0312097 v1 · 2003-12-10 · hep-th · astro-ph · 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{63HHWEKGTXYZIWPMPJJR32A4FV}

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	2026-07-04T17:21:09.162693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ce7b11469df19459ec7a531de81c2d601be6646825d91133f38006059be1a3

Aliases

arxiv: hep-th/0312097 · arxiv_version: hep-th/0312097v1 · doi: 10.48550/arxiv.hep-th/0312097 · pith_short_12: 63HHWEKGTXYZ · pith_short_16: 63HHWEKGTXYZIWPM · pith_short_8: 63HHWEKG

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/63HHWEKGTXYZIWPMPJJR32A4FV \
  | 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: f6ce7b11469df19459ec7a531de81c2d601be6646825d91133f38006059be1a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00eb7cc1ffb877476b03421297d45afc5be365c884a4e0d23667234a47eeee07",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-12-10T20:44:39Z",
    "title_canon_sha256": "fa5d232f9302e5b2bc899701931dafb034f9bb186281195c2e463c9ad7a0df43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0312097",
    "kind": "arxiv",
    "version": 1
  }
}