Pith Number

pith:SB5KD4U7

pith:2007:SB5KD4U7L43BK7UF5Q2TKKEPEH

not attested not anchored not stored refs pending

The dynamics of the early universe and the initial conditions for inflation in a model with radiation and a Chaplygin gas

E. V. Corr\^ea Silva, F. G. Alvarenga, G. A. Monerat, G. Oliveira-Neto, J. C. Fabris, L. G. Ferreira Filho, P. Romildo Jr., R. Fracalossi, S. V. B. Gon\c{c}alves

arxiv:0704.2585 v1 · 2007-04-19 · 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{SB5KD4U7L43BK7UF5Q2TKKEPEH}

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	2026-05-18T01:18:18.916727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

907aa1f29f5f36157e85ec3535288f21c52fdc24ed51008c4f0619cc834dac6b

Aliases

arxiv: 0704.2585 · arxiv_version: 0704.2585v1 · doi: 10.48550/arxiv.0704.2585 · pith_short_12: SB5KD4U7L43B · pith_short_16: SB5KD4U7L43BK7UF · pith_short_8: SB5KD4U7

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/SB5KD4U7L43BK7UF5Q2TKKEPEH \
  | 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: 907aa1f29f5f36157e85ec3535288f21c52fdc24ed51008c4f0619cc834dac6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94585e621830d8d65ac57c4d2f7c4e0d76415bb2f758e99871edd80338aed025",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-04-19T18:39:52Z",
    "title_canon_sha256": "cd78d58b67aa2f596ee3ee90775a5c38e8ff10c6d970dc43ac6398f4b8a074bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2585",
    "kind": "arxiv",
    "version": 1
  }
}