Pith Number

pith:ONYWP6X6

pith:2025:ONYWP6X6JL5IXIKVNIFTRUEVPR

not attested not anchored not stored refs pending

Sabotage the Mantel Theorem

Debsoumya Chakraborti, Natalie Behague, Xizhi Liu

arxiv:2506.23794 v1 · 2025-06-30 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONYWP6X6JL5IXIKVNIFTRUEVPR}

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	2026-07-05T11:29:28.075722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

737167fafe4afa8ba1556a0b38d0957c74e01b470e759673a46fb211ccb264f4

Aliases

arxiv: 2506.23794 · arxiv_version: 2506.23794v1 · doi: 10.48550/arxiv.2506.23794 · pith_short_12: ONYWP6X6JL5I · pith_short_16: ONYWP6X6JL5IXIKV · pith_short_8: ONYWP6X6

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/ONYWP6X6JL5IXIKVNIFTRUEVPR \
  | 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: 737167fafe4afa8ba1556a0b38d0957c74e01b470e759673a46fb211ccb264f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "829fb16e7dfbcfc7b9d2149717a33c49f4c19fa1da8084eb862a9a9b1600cd1e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-30T12:35:46Z",
    "title_canon_sha256": "1b5d90112a95fd654254f9cfc484184cf34710e2965bfe3feb5366709a34d8a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23794",
    "kind": "arxiv",
    "version": 1
  }
}