Pith Number

pith:O6UNPP2H

pith:2012:O6UNPP2HDBULH3KIVNJN72CW5J

not attested not anchored not stored refs pending

Null and non--rainbow colorings of projective plane and sphere triangulations

Amanda Montejano, Jorge L. Arocha

arxiv:1210.6831 v1 · 2012-10-25 · 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{O6UNPP2HDBULH3KIVNJN72CW5J}

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	2026-05-18T03:42:23.010003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a8d7bf471868b3ed48ab52dfe856ea7ad346841f251427af76c3fb5adc95b6

Aliases

arxiv: 1210.6831 · arxiv_version: 1210.6831v1 · doi: 10.48550/arxiv.1210.6831 · pith_short_12: O6UNPP2HDBUL · pith_short_16: O6UNPP2HDBULH3KI · pith_short_8: O6UNPP2H

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/O6UNPP2HDBULH3KIVNJN72CW5J \
  | 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: 77a8d7bf471868b3ed48ab52dfe856ea7ad346841f251427af76c3fb5adc95b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e996199800cc3010d49f61a5ee45c88d9a9f1df52b3093a4a0c924f70f88b79f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-25T13:38:38Z",
    "title_canon_sha256": "980284b031b81ec5da190e1797aa15ac7b6029c60848b56766d8a8670114de10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6831",
    "kind": "arxiv",
    "version": 1
  }
}