Pith Number

pith:DKTTET2P

pith:2015:DKTTET2P74HBH54OFT4D6MYA7M

not attested not anchored not stored refs pending

Forbidding induced even cycles in a graph: typical structure and counting

Daniela K\"uhn, Deryk Osthus, Jaehoon Kim, Timothy Townsend

arxiv:1507.04944 v1 · 2015-07-17 · 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{DKTTET2P74HBH54OFT4D6MYA7M}

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	2026-05-18T01:36:42.341950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aa7324f4fff0e13f78e2cf83f3300fb0854c208bcca9add222e4e7adfe086f0

Aliases

arxiv: 1507.04944 · arxiv_version: 1507.04944v1 · doi: 10.48550/arxiv.1507.04944 · pith_short_12: DKTTET2P74HB · pith_short_16: DKTTET2P74HBH54O · pith_short_8: DKTTET2P

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/DKTTET2P74HBH54OFT4D6MYA7M \
  | 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: 1aa7324f4fff0e13f78e2cf83f3300fb0854c208bcca9add222e4e7adfe086f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28469228587f4a74ffac291b25fdfdada9d62d38c4949c5ce4a1d043e1de830b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-17T12:20:09Z",
    "title_canon_sha256": "e329c81f27f5ac749dc0bc9a6c83e28fe8530d4c30ad7de97347eda945f15fea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04944",
    "kind": "arxiv",
    "version": 1
  }
}