Pith Number

pith:JMV7AOZB

pith:2004:JMV7AOZBMRDUPBIJ7QMKGWRKCS

not attested not anchored not stored refs pending

Gunther's formalism (k-symplectic formalism) in classical field theory: Skinner-Rusk approach and the evolution operator

Angel M. Rey, Modesto Salgado, Narciso Rom\'an-Roy

arxiv:math-ph/0412004 v1 · 2004-12-01 · 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{JMV7AOZBMRDUPBIJ7QMKGWRKCS}

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	2026-05-18T01:17:26.532405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b2bf03b216447478509fc18a35a2a14a3db11af326de5c8ee4e37b5d32ec122

Aliases

arxiv: math-ph/0412004 · arxiv_version: math-ph/0412004v1 · doi: 10.48550/arxiv.math-ph/0412004 · pith_short_12: JMV7AOZBMRDU · pith_short_16: JMV7AOZBMRDUPBIJ · pith_short_8: JMV7AOZB

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/JMV7AOZBMRDUPBIJ7QMKGWRKCS \
  | 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: 4b2bf03b216447478509fc18a35a2a14a3db11af326de5c8ee4e37b5d32ec122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b91218c732fd4146dc83d191c08d7619869a91337ad75dd2b8c0f8d160cc1fa2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-12-01T15:44:36Z",
    "title_canon_sha256": "499aebe795f7fb49858a2a2ab0b7a0e73778007b9df9fdb385e93df9198df662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0412004",
    "kind": "arxiv",
    "version": 1
  }
}