Pith Number

pith:2PUCAPLB

pith:2015:2PUCAPLBI4ESIHMMNIIDCGJWJ5

not attested not anchored not stored refs pending

Hadwiger's conjecture for the complements of Kneser graphs

Guangjun Xu, Sanming Zhou

arxiv:1503.06912 v2 · 2015-03-24 · 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{2PUCAPLBI4ESIHMMNIIDCGJWJ5}

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	2026-05-18T01:25:47.185949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3e8203d614709241d8c6a103119364f6733b0b7262b3b403a474e3f39f65c31

Aliases

arxiv: 1503.06912 · arxiv_version: 1503.06912v2 · doi: 10.48550/arxiv.1503.06912 · pith_short_12: 2PUCAPLBI4ES · pith_short_16: 2PUCAPLBI4ESIHMM · pith_short_8: 2PUCAPLB

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/2PUCAPLBI4ESIHMMNIIDCGJWJ5 \
  | 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: d3e8203d614709241d8c6a103119364f6733b0b7262b3b403a474e3f39f65c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ec91a2c19ef1c3e01f0558e7b0654e2ff7c4ab595f1fea586987a78d3ae5581",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-24T04:52:03Z",
    "title_canon_sha256": "6e485bd47b45b7091f5ee0102c1bc72b0fdd009054979d4c1b618b331a68e920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06912",
    "kind": "arxiv",
    "version": 2
  }
}