Pith Number

pith:N2EFJVA6

pith:2008:N2EFJVA6ZIAAI3LF64LL523XTY

not attested not anchored not stored refs pending

Geometric discrete analogues of tangent bundles and constrained Lagrangian systems

Charles Cuell, George W. Patrick

arxiv:0807.1511 v2 · 2008-07-09 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2EFJVA6ZIAAI3LF64LL523XTY}

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	2026-05-18T02:15:45.440806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e8854d41eca00046d65f716beeb779e211ae33d66e5f6820d8a2be6c2a044d6

Aliases

arxiv: 0807.1511 · arxiv_version: 0807.1511v2 · doi: 10.48550/arxiv.0807.1511 · pith_short_12: N2EFJVA6ZIAA · pith_short_16: N2EFJVA6ZIAAI3LF · pith_short_8: N2EFJVA6

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/N2EFJVA6ZIAAI3LF64LL523XTY \
  | 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: 6e8854d41eca00046d65f716beeb779e211ae33d66e5f6820d8a2be6c2a044d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb0b9ac3c6479a7f01f439c484388a7555907657f48937882bd98132f3beb7a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-07-09T18:33:24Z",
    "title_canon_sha256": "10ff9791b15f81953cdeb217e74529ea842bce48ba3c7850eaec98ad5221a8e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1511",
    "kind": "arxiv",
    "version": 2
  }
}