Pith Number

pith:YVV52GJU

pith:2015:YVV52GJUNPKLP5VI3ANIG2QNLY

not attested not anchored not stored refs pending

Variational tricomplex of a local gauge system, Lagrange structure and weak Poisson bracket

Alexey A. Sharapov

arxiv:1506.04652 v2 · 2015-06-15 · math-ph · hep-th · 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{YVV52GJUNPKLP5VI3ANIG2QNLY}

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	2026-05-18T01:32:43.441660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c56bdd19346bd4b7f6a8d81a836a0d5e0625de61d56b759739b064a8a66ef0ca

Aliases

arxiv: 1506.04652 · arxiv_version: 1506.04652v2 · doi: 10.48550/arxiv.1506.04652 · pith_short_12: YVV52GJUNPKL · pith_short_16: YVV52GJUNPKLP5VI · pith_short_8: YVV52GJU

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/YVV52GJUNPKLP5VI3ANIG2QNLY \
  | 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: c56bdd19346bd4b7f6a8d81a836a0d5e0625de61d56b759739b064a8a66ef0ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2646540754ac5e89b4eedb17690c93b212beec1ed5d1bb2e67ced9f1be293b6d",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-15T16:16:30Z",
    "title_canon_sha256": "5820a326da0880156e29df5f16b1b5bbda2cc5b4c7c161705a9b305086ed1cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04652",
    "kind": "arxiv",
    "version": 2
  }
}