Pith Number

pith:XMZXULWV

pith:2025:XMZXULWVYYCLHZ2WRY2BPMDWJH

not attested not anchored not stored refs pending

A Novel On-Shell Recursive Relation

Humberto Gomez

arxiv:2507.23510 v4 · 2025-07-31 · hep-th · 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{XMZXULWVYYCLHZ2WRY2BPMDWJH}

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	2026-06-25T00:18:11.435207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb337a2ed5c604b3e7568e3417b07649c9cf29cb4320e25e13e8183156373029

Aliases

arxiv: 2507.23510 · arxiv_version: 2507.23510v4 · doi: 10.48550/arxiv.2507.23510 · pith_short_12: XMZXULWVYYCL · pith_short_16: XMZXULWVYYCLHZ2W · pith_short_8: XMZXULWV

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/XMZXULWVYYCLHZ2WRY2BPMDWJH \
  | 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: bb337a2ed5c604b3e7568e3417b07649c9cf29cb4320e25e13e8183156373029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b47f6b9853a822f9de3216a19744f6077e9718fc7e0fdef5048dd498004de239",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-31T12:46:06Z",
    "title_canon_sha256": "7812429e295b442b7d8a1f7766c811851f750bb1ba23fe601681580564411d48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23510",
    "kind": "arxiv",
    "version": 4
  }
}