Pith Number

pith:ALM746CA

pith:2013:ALM746CAV4RMH725QLDDNILXT6

not attested not anchored not stored refs pending

The Minimization of the Number of Colors is Different at p=11

Pedro Lopes

arxiv:1308.6054 v3 · 2013-08-28 · 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{ALM746CAV4RMH725QLDDNILXT6}

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	2026-05-18T02:19:25.833072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d9fe7840af22c3ff5d82c636a1779faa60d613deca1b0e4aa7f5615ddaec16

Aliases

arxiv: 1308.6054 · arxiv_version: 1308.6054v3 · doi: 10.48550/arxiv.1308.6054 · pith_short_12: ALM746CAV4RM · pith_short_16: ALM746CAV4RMH725 · pith_short_8: ALM746CA

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/ALM746CAV4RMH725QLDDNILXT6 \
  | 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: 02d9fe7840af22c3ff5d82c636a1779faa60d613deca1b0e4aa7f5615ddaec16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2615ba0f9632a689a8097051554add889241d1e290933a27b2d085df3615879",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-08-28T04:38:38Z",
    "title_canon_sha256": "04352e3c68780be1709738909b0c5bc490820036ac5b2ca88281b18c69a551b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6054",
    "kind": "arxiv",
    "version": 3
  }
}