Pith Number

pith:HGLI4GGX

pith:2021:HGLI4GGXWDSJ434LDLJIP2CRHK

not attested not anchored not stored refs pending

Thermodynamic equilibrium condition and the first law of thermodynamics for charged perfect fluids in electromagnetic and gravitational fields

Chuanjia Zhu, Hongbao Zhang, Kai Shi, Xiaoning Wu, Yu Tian

arxiv:2108.08729 v2 · 2021-08-19 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGLI4GGXWDSJ434LDLJIP2CRHK}

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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

General relativistic heat flow from first order hydrodynamics

Receipt and verification

First computed	2026-07-05T04:09:14.964666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39968e18d7b0e49e6f8b1ad287e8513abc8f6b3d91981785a8ef58364ecef0de

Aliases

arxiv: 2108.08729 · arxiv_version: 2108.08729v2 · doi: 10.48550/arxiv.2108.08729 · pith_short_12: HGLI4GGXWDSJ · pith_short_16: HGLI4GGXWDSJ434L · pith_short_8: HGLI4GGX

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/HGLI4GGXWDSJ434LDLJIP2CRHK \
  | 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: 39968e18d7b0e49e6f8b1ad287e8513abc8f6b3d91981785a8ef58364ecef0de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "408e1035f09492712a6f203fe76eecc9e7a127b4760e105ea6b2c16aee8c31e5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-08-19T15:00:11Z",
    "title_canon_sha256": "94cc4a0852dce5025bc421bfa03a8c2067d3421d34f45a883bcc2151a438025e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.08729",
    "kind": "arxiv",
    "version": 2
  }
}