Pith Number

pith:VFBWA2BJ

pith:2011:VFBWA2BJRLUMIOUKR7WVGW2RUN

not attested not anchored not stored refs pending

Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds

C\'edric M. Campos, Elisa Guzm\'an, Juan Carlos Marrero

arxiv:1110.4778 v2 · 2011-10-21 · math.DG · 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{VFBWA2BJRLUMIOUKR7WVGW2RUN}

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	2026-05-18T02:16:48.306832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9436068298ae8c43a8a8fed535b51a3447b020d5f33195730566694a77fc8ac

Aliases

arxiv: 1110.4778 · arxiv_version: 1110.4778v2 · doi: 10.48550/arxiv.1110.4778 · pith_short_12: VFBWA2BJRLUM · pith_short_16: VFBWA2BJRLUMIOUK · pith_short_8: VFBWA2BJ

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/VFBWA2BJRLUMIOUKR7WVGW2RUN \
  | 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: a9436068298ae8c43a8a8fed535b51a3447b020d5f33195730566694a77fc8ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9fa0674c7aa13aa24fd7c714cbba15cbdfc266a55af4bdfdf0e947bf367e24f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-21T12:41:53Z",
    "title_canon_sha256": "f428281fd719f4da52039af8e30cee1ce46ec830e56ae7d5cbece360e1be7a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4778",
    "kind": "arxiv",
    "version": 2
  }
}