Pith Number

pith:QD6M2L2M

pith:2012:QD6M2L2MYXSUS3M3DHK7VSLRF5

not attested not anchored not stored refs pending

Cosmological analytic solutions with reduced relativistic gas

L. G. Medeiros

arxiv:1209.4930 v2 · 2012-09-21 · 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{QD6M2L2MYXSUS3M3DHK7VSLRF5}

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	2026-05-18T03:38:57.306016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80fccd2f4cc5e5496d9b19d5fac9712f55e9005a9ee6b94ef699f7f49abd9a62

Aliases

arxiv: 1209.4930 · arxiv_version: 1209.4930v2 · doi: 10.48550/arxiv.1209.4930 · pith_short_12: QD6M2L2MYXSU · pith_short_16: QD6M2L2MYXSUS3M3 · pith_short_8: QD6M2L2M

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/QD6M2L2MYXSUS3M3DHK7VSLRF5 \
  | 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: 80fccd2f4cc5e5496d9b19d5fac9712f55e9005a9ee6b94ef699f7f49abd9a62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6db5360466187f25cfa3d74491eb59eda9f06ecae1406c97bb9541dc5f6d07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-09-21T22:46:08Z",
    "title_canon_sha256": "affc098c8ccc62f91bcf2f41d3803257aaf59f72823bdf02a5fb7c4fb99694d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4930",
    "kind": "arxiv",
    "version": 2
  }
}