Pith Number

pith:K3JTIFZB

pith:2011:K3JTIFZBWKTXRKSO4ICNALUXSM

not attested not anchored not stored refs pending

H-coloring tori

David Galvin, John Engbers

arxiv:1101.0840 v2 · 2011-01-04 · 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{K3JTIFZBWKTXRKSO4ICNALUXSM}

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	2026-05-18T03:53:42.583013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d3341721b2a778aa4ee204d02e97933856563378474e0a6560435e9dd4a4ee

Aliases

arxiv: 1101.0840 · arxiv_version: 1101.0840v2 · doi: 10.48550/arxiv.1101.0840 · pith_short_12: K3JTIFZBWKTX · pith_short_16: K3JTIFZBWKTXRKSO · pith_short_8: K3JTIFZB

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/K3JTIFZBWKTXRKSO4ICNALUXSM \
  | 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: 56d3341721b2a778aa4ee204d02e97933856563378474e0a6560435e9dd4a4ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65f07c8dc0296b254355887e66914d3fac90ae01d663659d0c69fc28b3f723c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-04T22:28:36Z",
    "title_canon_sha256": "4e9d2ca02b4f89b7376b1b14e7c6ba039493109f5117b7f93f0d85898d7b31e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0840",
    "kind": "arxiv",
    "version": 2
  }
}