Pith Number

pith:5QECH46F

pith:2002:5QECH46FNSOJTRY3DXD3YMKYH6

not attested not anchored not stored refs pending

Some Aspects of Modality in Analytical Mechanics

Jeremy Butterfield

arxiv:physics/0210081 v3 · 2002-10-19 · physics.class-ph · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QECH46FNSOJTRY3DXD3YMKYH6}

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	2026-05-18T01:05:14.628452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec0823f3c56c9c99c71b1dc7bc31583f815a9fb8b19c237f4c2dc7a189693701

Aliases

arxiv: physics/0210081 · arxiv_version: physics/0210081v3 · doi: 10.48550/arxiv.physics/0210081 · pith_short_12: 5QECH46FNSOJ · pith_short_16: 5QECH46FNSOJTRY3 · pith_short_8: 5QECH46F

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/5QECH46FNSOJTRY3DXD3YMKYH6 \
  | 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: ec0823f3c56c9c99c71b1dc7bc31583f815a9fb8b19c237f4c2dc7a189693701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c86040de649d8cb4a243958a679b7219731455b8f29b4b4145e6e7fc30a02e",
    "cross_cats_sorted": [
      "physics.gen-ph"
    ],
    "license": "",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2002-10-19T20:27:10Z",
    "title_canon_sha256": "841e0a907a6c6bcd7990f37a9014716b88ea66aa5b352c28c3759fbff9f02f24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0210081",
    "kind": "arxiv",
    "version": 3
  }
}