Pith Number

pith:5FRBKMZQ

pith:2025:5FRBKMZQUXNYZ6PBAS334IXPRA

not attested not anchored not stored refs pending

A description of classical field equations using extensions of graded Poisson brackets

Manuel de Le\'on, Rub\'en Izquierdo-L\'opez

arxiv:2507.04743 v1 · 2025-07-07 · 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{5FRBKMZQUXNYZ6PBAS334IXPRA}

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	2026-07-05T11:32:53.311374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e962153330a5db8cf9e104b7be22ef882f5bb47b465ce3bc84d3a65388d94b3d

Aliases

arxiv: 2507.04743 · arxiv_version: 2507.04743v1 · doi: 10.48550/arxiv.2507.04743 · pith_short_12: 5FRBKMZQUXNY · pith_short_16: 5FRBKMZQUXNYZ6PB · pith_short_8: 5FRBKMZQ

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/5FRBKMZQUXNYZ6PBAS334IXPRA \
  | 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: e962153330a5db8cf9e104b7be22ef882f5bb47b465ce3bc84d3a65388d94b3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcab8ae461c3eeb82723d3424ee6da223890835082df6ae5053f3dc08e0c2507",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-07T08:17:41Z",
    "title_canon_sha256": "c21b9254d5838039734295fa3a1810158f595f22d05d3b6ac007c1791ccfddd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04743",
    "kind": "arxiv",
    "version": 1
  }
}