Pith Number

pith:3KFGLS6E

pith:2010:3KFGLS6E4VNL3RNIM35BF6UF3N

not attested not anchored not stored refs pending

Measures of edge-uncolorability

Eckhard Steffen, Vahan Mkrtchyan

arxiv:1003.5783 v2 · 2010-03-30 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KFGLS6E4VNL3RNIM35BF6UF3N}

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	2026-05-18T04:08:13.639571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da8a65cbc4e55abdc5a866fa12fa85db72089471eb8f5e3487ad2dc699d9c8fa

Aliases

arxiv: 1003.5783 · arxiv_version: 1003.5783v2 · doi: 10.48550/arxiv.1003.5783 · pith_short_12: 3KFGLS6E4VNL · pith_short_16: 3KFGLS6E4VNL3RNI · pith_short_8: 3KFGLS6E

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/3KFGLS6E4VNL3RNIM35BF6UF3N \
  | 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: da8a65cbc4e55abdc5a866fa12fa85db72089471eb8f5e3487ad2dc699d9c8fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c04a9e25f41b527d581292dac0ae185b56b20d8a6ac374bb62e11a38021329ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-03-30T10:39:31Z",
    "title_canon_sha256": "17e8e42628dd1fc283cdda3bd74985e800624c20bebf8e53e140f11eb9af2b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5783",
    "kind": "arxiv",
    "version": 2
  }
}