Pith Number

pith:S2CNU7SR

pith:2014:S2CNU7SRW6DZFEJ7GDXZBSAMMX

not attested not anchored not stored refs pending

A counterexample to a conjecture of Ghosh

Christopher Raridan, Elliot Krop, Hung Hua

arxiv:1412.6984 v1 · 2014-12-22 · 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{S2CNU7SRW6DZFEJ7GDXZBSAMMX}

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	2026-05-18T02:30:45.845888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9684da7e51b78792913f30ef90c80c65fcdec788d1ae051e17a6369d563eb24e

Aliases

arxiv: 1412.6984 · arxiv_version: 1412.6984v1 · doi: 10.48550/arxiv.1412.6984 · pith_short_12: S2CNU7SRW6DZ · pith_short_16: S2CNU7SRW6DZFEJ7 · pith_short_8: S2CNU7SR

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/S2CNU7SRW6DZFEJ7GDXZBSAMMX \
  | 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: 9684da7e51b78792913f30ef90c80c65fcdec788d1ae051e17a6369d563eb24e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a1459596b385cd5426b1b83e0abef63cb331b547d0400f8f3b5460f647b6ec0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-22T14:06:35Z",
    "title_canon_sha256": "e32a9e820e66fb93db918bdb67c340dc19ea2b97e7d4ad2ebba32237c0d1147a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6984",
    "kind": "arxiv",
    "version": 1
  }
}