Pith Number

pith:6PRK6HMB

pith:2009:6PRK6HMBNBL5O4RRLVXMEK7K4Y

not attested not anchored not stored refs pending

A proof of the Kauffman-Harary Conjecture

Pablo Solis, Thomas W. Mattman

arxiv:0906.1612 v2 · 2009-06-08 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PRK6HMBNBL5O4RRLVXMEK7K4Y}

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	2026-05-18T02:41:51.227060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e2af1d816857d772315d6ec22beae62634915dde42f60b9855a1922ec9e68e

Aliases

arxiv: 0906.1612 · arxiv_version: 0906.1612v2 · doi: 10.48550/arxiv.0906.1612 · pith_short_12: 6PRK6HMBNBL5 · pith_short_16: 6PRK6HMBNBL5O4RR · pith_short_8: 6PRK6HMB

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/6PRK6HMBNBL5O4RRLVXMEK7K4Y \
  | 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: f3e2af1d816857d772315d6ec22beae62634915dde42f60b9855a1922ec9e68e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4abd2cc8b98227d4606f44770fcb77601ba8e78e13373bb5af56311e2dd8d52a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-06-08T23:36:56Z",
    "title_canon_sha256": "783ce8980272d496a9fd5912c32144844325626d19112159e8374672f81bbad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1612",
    "kind": "arxiv",
    "version": 2
  }
}