Pith Number

pith:UKU6KCD7

pith:2014:UKU6KCD74C5XSHZRRHOWRENSAA

not attested not anchored not stored refs pending

Reducibility in the Four-Color Theorem

Daniel P. Sanders, Neil Robertson, Paul Seymour, Robin Thomas

arxiv:1401.6481 v1 · 2014-01-25 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKU6KCD74C5XSHZRRHOWRENSAA}

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	2026-05-18T03:01:01.685674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a9e5087fe0bb791f3189dd6891b20008e38deb586e71eb92b035a5bbb8b510

Aliases

arxiv: 1401.6481 · arxiv_version: 1401.6481v1 · doi: 10.48550/arxiv.1401.6481 · pith_short_12: UKU6KCD74C5X · pith_short_16: UKU6KCD74C5XSHZR · pith_short_8: UKU6KCD7

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/UKU6KCD74C5XSHZRRHOWRENSAA \
  | 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: a2a9e5087fe0bb791f3189dd6891b20008e38deb586e71eb92b035a5bbb8b510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3292c7d80af3aecc0dcf55e45c544a60e09ce8f307b2e026c7b126c33080ba5",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-25T01:26:34Z",
    "title_canon_sha256": "bbabc5ae8f2748c98fe8c25a73fcbc239066be22d966e5fc79abe4d7cf4f3363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6481",
    "kind": "arxiv",
    "version": 1
  }
}