Pith Number

pith:VYKNFWPA

pith:2026:VYKNFWPAJ32PJSPXGNPROQCLWQ

not attested not anchored not stored refs pending

A Pfaffian Proof and Generalization of a Conjecture of Sun Zhiwei

Fei Liu, Hong-Ge Chen

arxiv:2607.01695 v1 · 2026-07-02 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYKNFWPAJ32PJSPXGNPROQCLWQ}

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	2026-07-03T01:17:26.977598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae14d2d9e04ef4f4c9f7335f17404bb4051fbf7212ae8412893ae68825076fdd

Aliases

arxiv: 2607.01695 · arxiv_version: 2607.01695v1 · doi: 10.48550/arxiv.2607.01695 · pith_short_12: VYKNFWPAJ32P · pith_short_16: VYKNFWPAJ32PJSPX · pith_short_8: VYKNFWPA

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/VYKNFWPAJ32PJSPXGNPROQCLWQ \
  | 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: ae14d2d9e04ef4f4c9f7335f17404bb4051fbf7212ae8412893ae68825076fdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "157c3bad7cc33214e6c0387effa28e1839b1e2ef077d51444204bf226509eeca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-02T04:39:20Z",
    "title_canon_sha256": "5fd6c7e216cc8c2397c0ef42b2dca2642b66afce6c59fa3811a8694fe0ced750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01695",
    "kind": "arxiv",
    "version": 1
  }
}