Pith Number

pith:ZAAMXILF

pith:2012:ZAAMXILFBJZ27A4EFDTRKWMYYV

not attested not anchored not stored refs pending

On snarks that are far from being 3-edge colorable

Jonas H\"agglund

arxiv:1203.2015 v1 · 2012-03-09 · math.CO · 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{ZAAMXILFBJZ27A4EFDTRKWMYYV}

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	2026-05-18T04:00:27.696293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c800cba1650a73af838428e7155998c57fb70c662581cf1e0cb987458112bf5f

Aliases

arxiv: 1203.2015 · arxiv_version: 1203.2015v1 · doi: 10.48550/arxiv.1203.2015 · pith_short_12: ZAAMXILFBJZ2 · pith_short_16: ZAAMXILFBJZ27A4E · pith_short_8: ZAAMXILF

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/ZAAMXILFBJZ27A4EFDTRKWMYYV \
  | 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: c800cba1650a73af838428e7155998c57fb70c662581cf1e0cb987458112bf5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "874d811131d4722edc4d37dfa857be7c51897d92b9f9c2abe57c6781357c19a1",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-09T08:33:25Z",
    "title_canon_sha256": "77dd6764efed0d81735cf943bcf24e40224527761ebde555b7a2ef9492885501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2015",
    "kind": "arxiv",
    "version": 1
  }
}