Pith Number

pith:NX73CALE

pith:2012:NX73CALEUBJHHXUJAZSCHUVJQE

not attested not anchored not stored refs pending

Five-coloring graphs on the Klein bottle

Carl Yerger, Luke Postle, Nathan Chenette, Noah Streib, Robin Thomas

arxiv:1201.5361 v1 · 2012-01-25 · 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{NX73CALEUBJHHXUJAZSCHUVJQE}

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	2026-05-18T04:03:54.938831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dffb10164a05273de89066423d2a98124d3bca19c6c50ff1bdfb07c42fbf1ef

Aliases

arxiv: 1201.5361 · arxiv_version: 1201.5361v1 · doi: 10.48550/arxiv.1201.5361 · pith_short_12: NX73CALEUBJH · pith_short_16: NX73CALEUBJHHXUJ · pith_short_8: NX73CALE

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/NX73CALEUBJHHXUJAZSCHUVJQE \
  | 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: 6dffb10164a05273de89066423d2a98124d3bca19c6c50ff1bdfb07c42fbf1ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8fb81f302291b5afd1eb001fed31ea46a4f4cf1b3b23e3b66f9ab93e706c5a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-25T20:25:47Z",
    "title_canon_sha256": "d28c399d2a92dbc62a19f01eebcea28ac070aca4aabe82e5ca2a397929866341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5361",
    "kind": "arxiv",
    "version": 1
  }
}