Pith Number

pith:Z3HAQLA6

pith:1998:Z3HAQLA6TIPOEICJ652WTUIYHQ

not attested not anchored not stored refs pending

The Quantum Commutator of a Perfect Fluid

Mark D. Roberts

arxiv:gr-qc/9810089 v1 · 1998-10-30 · gr-qc · hep-th · math.QA · 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{Z3HAQLA6TIPOEICJ652WTUIYHQ}

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	2026-05-18T04:25:11.889166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cece082c1e9a1ee22049f77569d1183c2f1039fd08b6904e67f6d2ed2980b7cb

Aliases

arxiv: gr-qc/9810089 · arxiv_version: gr-qc/9810089v1 · doi: 10.48550/arxiv.gr-qc/9810089 · pith_short_12: Z3HAQLA6TIPO · pith_short_16: Z3HAQLA6TIPOEICJ · pith_short_8: Z3HAQLA6

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/Z3HAQLA6TIPOEICJ652WTUIYHQ \
  | 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: cece082c1e9a1ee22049f77569d1183c2f1039fd08b6904e67f6d2ed2980b7cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f450a92b0f72253b7be7202f25b02d41052bafaa1a55cf14153dd951ff5dc4df",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA",
      "physics.flu-dyn"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-10-30T13:40:15Z",
    "title_canon_sha256": "5affe4a9cb5346c1b480ca8195d97280015aafb4d70ba0d7862b4e6537838c23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9810089",
    "kind": "arxiv",
    "version": 1
  }
}