Pith Number

pith:QR7GD65Y

pith:2007:QR7GD65YYRFVJEOB75IVM47ZJK

not attested not anchored not stored refs pending

On the k-Symplectic, k-Cosymplectic and Multisymplectic Formalisms of Classical Field Theories

Angel M. Rey, Modesto Salgado, Narciso Roman-Roy, Silvia Vilarino

arxiv:0705.4364 v1 · 2007-05-30 · 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{QR7GD65YYRFVJEOB75IVM47ZJK}

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	2026-05-18T01:24:31.263084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

847e61fbb8c44b5491c1ff515673f94a86b340ba5108ed1fc7226c4ae03ff78a

Aliases

arxiv: 0705.4364 · arxiv_version: 0705.4364v1 · doi: 10.48550/arxiv.0705.4364 · pith_short_12: QR7GD65YYRFV · pith_short_16: QR7GD65YYRFVJEOB · pith_short_8: QR7GD65Y

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/QR7GD65YYRFVJEOB75IVM47ZJK \
  | 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: 847e61fbb8c44b5491c1ff515673f94a86b340ba5108ed1fc7226c4ae03ff78a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692181f6893340c60b92b0ab261b90abf74d8d212009f7b16d2f53d68218c606",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-05-30T10:29:42Z",
    "title_canon_sha256": "f21f4c82dc41e00b8e6763d9dfa766d5d3a5a5383e7b66770c24ced080de3928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.4364",
    "kind": "arxiv",
    "version": 1
  }
}