Pith Number

pith:BNVYZXBC

pith:2026:BNVYZXBCVWMEVSX7RCGU6SK73Z

not attested not anchored not stored refs pending

Counterexamples, Spectral Obstructions, and Deletion Stability for WOW-284

Samuil Petkov

arxiv:2607.27452 v1 · 2026-07-29 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNVYZXBCVWMEVSX7RCGU6SK73Z}

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	2026-07-31T00:12:12.561895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

0b6b8cdc22ad984acaff888d4f495fde76947f16cc89b4d2b5aa13994890c6f8

Aliases

arxiv: 2607.27452 · arxiv_version: 2607.27452v1 · doi: 10.48550/arxiv.2607.27452 · pith_short_12: BNVYZXBCVWME · pith_short_16: BNVYZXBCVWMEVSX7 · pith_short_8: BNVYZXBC

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/BNVYZXBCVWMEVSX7RCGU6SK73Z \
  | 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: 0b6b8cdc22ad984acaff888d4f495fde76947f16cc89b4d2b5aa13994890c6f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af15f927f4f3fd207a771e780ea799ba6c1ee4a7c5d6023781d42f1e44f7b6e",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-29T20:34:55Z",
    "title_canon_sha256": "646e2c2b150e1009562b5549728e54685582b69aa9f87bf08dc8de3ca4400fe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27452",
    "kind": "arxiv",
    "version": 1
  }
}