Pith Number

pith:AYG67M6F

pith:2007:AYG67M6F6VOA37WZLDX7CIJKTN

not attested not anchored not stored refs pending

Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows

Maxim S. Borshch, Valery I. Zhdanov

arxiv:0709.1053 v2 · 2007-09-07 · math-ph · astro-ph · math.MP · nucl-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{AYG67M6F6VOA37WZLDX7CIJKTN}

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	2026-07-04T15:34:53.563741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060defb3c5f55c0dfed958eff1212a9b52953862c492b68bab4a8a9caf0c01f1

Aliases

arxiv: 0709.1053 · arxiv_version: 0709.1053v2 · doi: 10.48550/arxiv.0709.1053 · pith_short_12: AYG67M6F6VOA · pith_short_16: AYG67M6F6VOA37WZ · pith_short_8: AYG67M6F

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/AYG67M6F6VOA37WZLDX7CIJKTN \
  | 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: 060defb3c5f55c0dfed958eff1212a9b52953862c492b68bab4a8a9caf0c01f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec2798b74c37eb61d86c20bbb19e890959c894ee9df8070b6681155e427ca9c2",
    "cross_cats_sorted": [
      "astro-ph",
      "math.MP",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-09-07T11:46:46Z",
    "title_canon_sha256": "bdbd6cd2c83a18559968394ecb7bdf96b890fbd2ef04e6c93d8a450ce93466b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1053",
    "kind": "arxiv",
    "version": 2
  }
}