Pith Number

pith:H3NQJ6UN

pith:2011:H3NQJ6UN62HB4FNBL6BAE5GI3N

not attested not anchored not stored refs pending

Extending triangulations of the 2-sphere to the 3-disk preserving a 4-coloring

Rui Pedro Carpentier

arxiv:1101.5537 v2 · 2011-01-28 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3NQJ6UN62HB4FNBL6BAE5GI3N}

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	2026-05-18T04:30:04.460042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3edb04fa8df68e1e15a15f820274c8db7750549432b50b4e4a25072818f1c499

Aliases

arxiv: 1101.5537 · arxiv_version: 1101.5537v2 · doi: 10.48550/arxiv.1101.5537 · pith_short_12: H3NQJ6UN62HB · pith_short_16: H3NQJ6UN62HB4FNB · pith_short_8: H3NQJ6UN

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/H3NQJ6UN62HB4FNBL6BAE5GI3N \
  | 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: 3edb04fa8df68e1e15a15f820274c8db7750549432b50b4e4a25072818f1c499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7311132d6868357d4e6952310b409a2161eb4418f6a68a1d4e12353f00f1871e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-28T14:24:42Z",
    "title_canon_sha256": "9fd7b0824f5621269831882025f2e5b20fa0e03de53d54eaf344e4fd4488b195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5537",
    "kind": "arxiv",
    "version": 2
  }
}