Pith Number

pith:GX5HFYOO

pith:2026:GX5HFYOOHARCPRSY7BWY3FSX7H

not attested not anchored not stored refs pending

Hamiltonian reduction from particular integrals

A. M. Escobar-Ruiz, I. Gutierrez-Sagredo, R. Azuaje

arxiv:2607.07057 v1 · 2026-07-08 · math-ph · math.DG · 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{GX5HFYOOHARCPRSY7BWY3FSX7H}

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	2026-07-09T01:20:13.425519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35fa72e1ce382227c658f86d8d9657f9fa48f571dd6d78d33aabdf01d948913f

Aliases

arxiv: 2607.07057 · arxiv_version: 2607.07057v1 · doi: 10.48550/arxiv.2607.07057 · pith_short_12: GX5HFYOOHARC · pith_short_16: GX5HFYOOHARCPRSY · pith_short_8: GX5HFYOO

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/GX5HFYOOHARCPRSY7BWY3FSX7H \
  | 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: 35fa72e1ce382227c658f86d8d9657f9fa48f571dd6d78d33aabdf01d948913f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b9c36db584ac82ce1d180bddd8787f03d97d4bd104c8b170739159dd9875111",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-08T06:34:48Z",
    "title_canon_sha256": "dc2f23aa3b9db0f52bb4c13e050892beeafb03a39d6dda7ab193a76a0e80255a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07057",
    "kind": "arxiv",
    "version": 1
  }
}