Pith Number

pith:7EDAXVFU

pith:2013:7EDAXVFUVIVLOQXDOYDZ4VLZBP

not attested not anchored not stored refs pending

The Ramsey numbers of paths versus wheels: a complete solution

Binlong Li, Bo Ning

arxiv:1312.2081 v1 · 2013-12-07 · 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{7EDAXVFUVIVLOQXDOYDZ4VLZBP}

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	2026-05-18T01:12:18.907938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9060bd4b4aa2ab742e376079e55790bf7efc36e091033b88dd7c9fda65a2a7c

Aliases

arxiv: 1312.2081 · arxiv_version: 1312.2081v1 · doi: 10.48550/arxiv.1312.2081 · pith_short_12: 7EDAXVFUVIVL · pith_short_16: 7EDAXVFUVIVLOQXD · pith_short_8: 7EDAXVFU

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/7EDAXVFUVIVLOQXDOYDZ4VLZBP \
  | 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: f9060bd4b4aa2ab742e376079e55790bf7efc36e091033b88dd7c9fda65a2a7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec8ced650e577b5a65e046ccc8bd114f2b3b20be80ea62c4e0a69da7dbde1ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-07T10:11:20Z",
    "title_canon_sha256": "13afa1d3748818a3ce83ea80c18071dfdce731fa040243029f833d9ef5c2f801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2081",
    "kind": "arxiv",
    "version": 1
  }
}