Pith Number

pith:TKMOPLKH

pith:1998:TKMOPLKHUAQV2VMDYZEPWW6OCF

not attested not anchored not stored refs pending

An Expansion Term In Hamilton's Equations

Mark D. Roberts

arxiv:gr-qc/9810090 v2 · 1998-10-30 · gr-qc · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKMOPLKHUAQV2VMDYZEPWW6OCF}

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	2026-05-18T04:25:11.881818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a98e7ad47a0215d5583c648fb5bce117c075ab8606de8c27b6da315077d7d15

Aliases

arxiv: gr-qc/9810090 · arxiv_version: gr-qc/9810090v2 · doi: 10.48550/arxiv.gr-qc/9810090 · pith_short_12: TKMOPLKHUAQV · pith_short_16: TKMOPLKHUAQV2VMD · pith_short_8: TKMOPLKH

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/TKMOPLKHUAQV2VMDYZEPWW6OCF \
  | 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: 9a98e7ad47a0215d5583c648fb5bce117c075ab8606de8c27b6da315077d7d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee3f6c91e87fd5d2eefd3309b05caeeaca373054bda592c54e4f3bf372585960",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-10-30T13:48:28Z",
    "title_canon_sha256": "9af49d1d9aec50cad16a5af90fccd13e1f2dee4d66c22820b9b4e40835cc017f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9810090",
    "kind": "arxiv",
    "version": 2
  }
}