Pith Number

pith:AXPX4JGD

pith:2021:AXPX4JGDCCQEOK5HNY7ZGABPKA

not attested not anchored not stored refs pending

Applying the Gibbs stability criterion to relativistic hydrodynamics

Lorenzo Gavassino

arxiv:2104.09142 v2 · 2021-04-19 · gr-qc · astro-ph.HE · hep-th · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXPX4JGDCCQEOK5HNY7ZGABPKA}

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.

Cited by

1 paper in Pith

How acausal equations emerge from causal dynamics

Receipt and verification

First computed	2026-07-05T03:18:27.119459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05df7e24c310a0472ba76e3f93002f502c342a7a7ba19b26a8d6fb6a2531d649

Aliases

arxiv: 2104.09142 · arxiv_version: 2104.09142v2 · doi: 10.48550/arxiv.2104.09142 · pith_short_12: AXPX4JGDCCQE · pith_short_16: AXPX4JGDCCQEOK5H · pith_short_8: AXPX4JGD

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/AXPX4JGDCCQEOK5HNY7ZGABPKA \
  | 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: 05df7e24c310a0472ba76e3f93002f502c342a7a7ba19b26a8d6fb6a2531d649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e05abf18093db9c0ac1ecd32b34da24faaa74acf4e28a67446cad82f5c53981",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-04-19T09:02:09Z",
    "title_canon_sha256": "9643463a6f202b81a52b37bfb829cc0db945f79ba9979ba8fa22a4df27bdecbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.09142",
    "kind": "arxiv",
    "version": 2
  }
}