Pith Number

pith:M42N2ELX

pith:2010:M42N2ELXFXC6AJ64JXMBWXKSCG

not attested not anchored not stored refs pending

Constrained Variational Calculus for Higher Order Classical Field Theories

Cedric M. Campos, David Martin de Diego, Manuel de Leon

arxiv:1005.2152 v2 · 2010-05-12 · 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{M42N2ELXFXC6AJ64JXMBWXKSCG}

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	2026-05-18T02:16:48.316408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6734dd11772dc5e027dc4dd81b5d5211b5af699c99d51268952c2cf293228ab4

Aliases

arxiv: 1005.2152 · arxiv_version: 1005.2152v2 · doi: 10.48550/arxiv.1005.2152 · pith_short_12: M42N2ELXFXC6 · pith_short_16: M42N2ELXFXC6AJ64 · pith_short_8: M42N2ELX

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/M42N2ELXFXC6AJ64JXMBWXKSCG \
  | 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: 6734dd11772dc5e027dc4dd81b5d5211b5af699c99d51268952c2cf293228ab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "191aeb3bde037de637b7ce64b47a6a989beaed07ea8277a8e61a0313a67fa1bd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-12T16:52:37Z",
    "title_canon_sha256": "2a8977122aac881f2d0638d9accfa68692f65cc7d33e15539ae658f433926347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2152",
    "kind": "arxiv",
    "version": 2
  }
}