Pith Number

pith:AZGDRWYW

pith:2015:AZGDRWYWS36A3PS7FS3FGLHGTO

not attested not anchored not stored refs pending

Shear-free perfect fluids with a barotropic equation of state in general relativity: the present status

Norbert Van den Bergh, Radu Slobodeanu

arxiv:1510.05798 v2 · 2015-10-20 · 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{AZGDRWYWS36A3PS7FS3FGLHGTO}

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	2026-05-18T01:03:59.873785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

064c38db1696fc0dbe5f2cb6532ce69bac9d65c2ce3892816b2c4e8dd9641073

Aliases

arxiv: 1510.05798 · arxiv_version: 1510.05798v2 · doi: 10.48550/arxiv.1510.05798 · pith_short_12: AZGDRWYWS36A · pith_short_16: AZGDRWYWS36A3PS7 · pith_short_8: AZGDRWYW

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/AZGDRWYWS36A3PS7FS3FGLHGTO \
  | 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: 064c38db1696fc0dbe5f2cb6532ce69bac9d65c2ce3892816b2c4e8dd9641073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "159d20f0d86eef40e450e8218a781d1895594ae32dbb3ca33fbcba9600ee766b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-10-20T08:58:44Z",
    "title_canon_sha256": "13b949cade9621bfd910e6bcb23a5f83e3035ae86215d1205df5d497efff8be6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05798",
    "kind": "arxiv",
    "version": 2
  }
}