Pith Number

pith:MEZCGKRJ

pith:2004:MEZCGKRJMP4QOXOEJEL6ATN5KG

not attested not anchored not stored refs pending

Irreversible processes and the accelerated-decelerated phases of the Universe

G. M. Kremer, M. C. N. Teixeira da Silva

arxiv:gr-qc/0404011 v1 · 2004-04-01 · 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{MEZCGKRJMP4QOXOEJEL6ATN5KG}

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	2026-05-18T00:37:30.370397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6132232a2963f9075dc44917e04dbd51af9c8c0839da20d5dbc2366edbbbee15

Aliases

arxiv: gr-qc/0404011 · arxiv_version: gr-qc/0404011v1 · doi: 10.48550/arxiv.gr-qc/0404011 · pith_short_12: MEZCGKRJMP4Q · pith_short_16: MEZCGKRJMP4QOXOE · pith_short_8: MEZCGKRJ

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/MEZCGKRJMP4QOXOEJEL6ATN5KG \
  | 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: 6132232a2963f9075dc44917e04dbd51af9c8c0839da20d5dbc2366edbbbee15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b73f2dbf8a1a497c2c56af1c9f9cf7ff5b4646e1cb6d398b08a58e23076dc7f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-04-01T18:31:09Z",
    "title_canon_sha256": "1978ef56cce8cfdb7243e4ea7f70e018f0f5ecd0b00188db7f702d5ad870d807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0404011",
    "kind": "arxiv",
    "version": 1
  }
}