Pith Number

pith:ZXETWLHD

pith:2025:ZXETWLHD3QVEZSY3MASLTQA7ZF

not attested not anchored not stored refs pending

Quantum spectrum and Gamma structure for standard flips

Mark Shoemaker, Yefeng Shen

arxiv:2502.08762 v2 · 2025-02-12 · math.AG · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXETWLHD3QVEZSY3MASLTQA7ZF}

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	2026-07-05T11:46:39.215790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc93b2ce3dc2a4ccb1b6024b9c01fc97e0d4feff9bfeb90b53fdd79d85b5691

Aliases

arxiv: 2502.08762 · arxiv_version: 2502.08762v2 · doi: 10.48550/arxiv.2502.08762 · pith_short_12: ZXETWLHD3QVE · pith_short_16: ZXETWLHD3QVEZSY3 · pith_short_8: ZXETWLHD

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/ZXETWLHD3QVEZSY3MASLTQA7ZF \
  | 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: cdc93b2ce3dc2a4ccb1b6024b9c01fc97e0d4feff9bfeb90b53fdd79d85b5691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc32e6a21c5194d1f3d3cabe981deb226be7d17e9f11049ff98f115dc043bd3",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-12T20:10:10Z",
    "title_canon_sha256": "c76b644e1eb4f14219897262ff78b07844d1b07e3874b3e8e6bf5b033b0bf5c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08762",
    "kind": "arxiv",
    "version": 2
  }
}