Pith Number

pith:GRXKEVDW

pith:2011:GRXKEVDWO4XR4ITVXUS5QCC34J

not attested not anchored not stored refs pending

Graphs without even holes or diamonds

Ton Kloks

arxiv:1104.3920 v1 · 2011-04-20 · 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{GRXKEVDWO4XR4ITVXUS5QCC34J}

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	2026-05-18T04:23:47.435406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346ea25476772f1e2275bd25d8085be27467fa1f98d0731a690b52295f3ffd01

Aliases

arxiv: 1104.3920 · arxiv_version: 1104.3920v1 · doi: 10.48550/arxiv.1104.3920 · pith_short_12: GRXKEVDWO4XR · pith_short_16: GRXKEVDWO4XR4ITV · pith_short_8: GRXKEVDW

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/GRXKEVDWO4XR4ITVXUS5QCC34J \
  | 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: 346ea25476772f1e2275bd25d8085be27467fa1f98d0731a690b52295f3ffd01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7739c64783e99afee018d8a23e5264c5acb3aafdcc6b4d1beb9f545eb196054e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-20T02:10:48Z",
    "title_canon_sha256": "12ae351d9e0b8334d74d3e0e56d79ba2cc248941fba10ac593b6975b8c29b509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3920",
    "kind": "arxiv",
    "version": 1
  }
}