Pith Number

pith:PHSBG6GH

pith:2017:PHSBG6GH7ISBIH5N7C52FZDD65

not attested not anchored not stored refs pending

Cycle reversions and dichromatic number in tournaments

Daniel T. Soukup, Paul Ellis

arxiv:1708.02441 v1 · 2017-08-08 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHSBG6GH7ISBIH5N7C52FZDD65}

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	2026-05-18T00:38:24.250475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e41378c7fa24141fadf8bba2e463f778625c5ac04dbaa2a3e83df0494eafc9

Aliases

arxiv: 1708.02441 · arxiv_version: 1708.02441v1 · doi: 10.48550/arxiv.1708.02441 · pith_short_12: PHSBG6GH7ISB · pith_short_16: PHSBG6GH7ISBIH5N · pith_short_8: PHSBG6GH

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/PHSBG6GH7ISBIH5N7C52FZDD65 \
  | 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: 79e41378c7fa24141fadf8bba2e463f778625c5ac04dbaa2a3e83df0494eafc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea6fba053b0c1911d99b0f7a00be60c69a1b83ca1a665141f68e2e08441a976",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-08T10:38:18Z",
    "title_canon_sha256": "53f30f59287b9d7d203927127f5ef9e5c29dabc299b114ee7baf75c1322532f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02441",
    "kind": "arxiv",
    "version": 1
  }
}