Pith Number

pith:AR5RL5ZX

pith:2025:AR5RL5ZXAYERNLX3SLYTTGVNHK

not attested not anchored not stored refs pending

Testing APS conjecture on regular graphs

Fen Zuo, Wenxuan Tao

arxiv:2507.10050 v1 · 2025-07-14 · quant-ph · cond-mat.stat-mech · math-ph · math.CO · 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{AR5RL5ZXAYERNLX3SLYTTGVNHK}

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	2026-07-05T11:36:44.238132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

047b15f737060916aefb92f1399aad3aaf86eca3130d9a74b519215242d2dd72

Aliases

arxiv: 2507.10050 · arxiv_version: 2507.10050v1 · doi: 10.48550/arxiv.2507.10050 · pith_short_12: AR5RL5ZXAYER · pith_short_16: AR5RL5ZXAYERNLX3 · pith_short_8: AR5RL5ZX

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/AR5RL5ZXAYERNLX3SLYTTGVNHK \
  | 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: 047b15f737060916aefb92f1399aad3aaf86eca3130d9a74b519215242d2dd72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2b3c9732bc269975684531f9263865832ca2db343c5cd3d8fce45d794e7893c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-14T08:31:08Z",
    "title_canon_sha256": "5f261a3a93f33c488bb6f70485c29e851404c46cb559aa48555d596cccfa2744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10050",
    "kind": "arxiv",
    "version": 1
  }
}