Pith Number

pith:MAZGC3SS

pith:1999:MAZGC3SSXR4OPUOURYEQL5AZPD

not attested not anchored not stored refs pending

Symmetry Breaking using Fluids II: Velocity Potential Method

Mark D. Roberts

arxiv:hep-th/9904079 v1 · 1999-04-10 · hep-th · 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{MAZGC3SSXR4OPUOURYEQL5AZPD}

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	2026-05-18T04:25:11.818881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6032616e52bc78e7d1d48e0905f41978ff2bf433392d228b937449e51157b12a

Aliases

arxiv: hep-th/9904079 · arxiv_version: hep-th/9904079v1 · doi: 10.48550/arxiv.hep-th/9904079 · pith_short_12: MAZGC3SSXR4O · pith_short_16: MAZGC3SSXR4OPUOU · pith_short_8: MAZGC3SS

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/MAZGC3SSXR4OPUOURYEQL5AZPD \
  | 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: 6032616e52bc78e7d1d48e0905f41978ff2bf433392d228b937449e51157b12a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea883fd3d69184e5dc8d008b32543381d884eaf989d295b1911afdede5cc732d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-04-10T15:20:38Z",
    "title_canon_sha256": "c35d41d89951a27ce72c0e5cf8dc65b8bdef9fe30b311b53f9f563901e08848b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9904079",
    "kind": "arxiv",
    "version": 1
  }
}