Pith Number

pith:Q5HY7LGO

pith:2003:Q5HY7LGOAFKAITYSGZRIB6PU27

not attested not anchored not stored refs pending

Irreversible Processes in a Universe modelled as a mixture of a Chaplygin gas and radiation

G. M. Kremer

arxiv:gr-qc/0303103 v1 · 2003-03-26 · 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{Q5HY7LGOAFKAITYSGZRIB6PU27}

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	2026-05-18T01:39:23.142717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

874f8facce0154044f12366280f9f4d7d86fc264975b25c419f054d0e4815f82

Aliases

arxiv: gr-qc/0303103 · arxiv_version: gr-qc/0303103v1 · doi: 10.48550/arxiv.gr-qc/0303103 · pith_short_12: Q5HY7LGOAFKA · pith_short_16: Q5HY7LGOAFKAITYS · pith_short_8: Q5HY7LGO

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/Q5HY7LGOAFKAITYSGZRIB6PU27 \
  | 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: 874f8facce0154044f12366280f9f4d7d86fc264975b25c419f054d0e4815f82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b44e9543eaca3ad56429c4226517f0016e8cef5df458233475a81c53983c0cb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-03-26T11:18:36Z",
    "title_canon_sha256": "dae9f83fcaa28ba82d897a141b4ad1d0e59187202aae8427309ff0a87be477fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0303103",
    "kind": "arxiv",
    "version": 1
  }
}