Pith Number

pith:SWBJLMD4

pith:2016:SWBJLMD46OZO2756URCP4XCHJU

not attested not anchored not stored refs pending

On 4-critical t-perfect graphs

Yohann Benchetrit

arxiv:1604.02288 v1 · 2016-04-08 · cs.DM · 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{SWBJLMD46OZO2756URCP4XCHJU}

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	2026-05-18T01:17:27.967050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

958295b07cf3b2ed7fbea444fe5c474d105ce2903ea87b2a17ae3c4b0cdcd186

Aliases

arxiv: 1604.02288 · arxiv_version: 1604.02288v1 · doi: 10.48550/arxiv.1604.02288 · pith_short_12: SWBJLMD46OZO · pith_short_16: SWBJLMD46OZO2756 · pith_short_8: SWBJLMD4

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/SWBJLMD46OZO2756URCP4XCHJU \
  | 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: 958295b07cf3b2ed7fbea444fe5c474d105ce2903ea87b2a17ae3c4b0cdcd186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f97e5cf4405b35cb1c2af7dc0a0635a2c1e959479f5e57a585674b7e3bdbfdf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-04-08T10:03:26Z",
    "title_canon_sha256": "51ef3f69a2264391aab796023c0e813e15f588a243b448056d7abfd9bb9f654e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02288",
    "kind": "arxiv",
    "version": 1
  }
}