Pith Number

pith:WKLIMBD7

pith:2011:WKLIMBD7UQAM3FQYNYBJA2M6AI

not attested not anchored not stored refs pending

On a conjecture of Erdos and Simonovits: Even Cycles

Benny Sudakov, Jacques Verstraete, Peter Keevash

arxiv:1107.4715 v1 · 2011-07-23 · 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{WKLIMBD7UQAM3FQYNYBJA2M6AI}

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	2026-05-18T03:02:44.157138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b29686047fa400cd96186e0290699e021b32f9849e56e875d8ff6cb984d6daed

Aliases

arxiv: 1107.4715 · arxiv_version: 1107.4715v1 · doi: 10.48550/arxiv.1107.4715 · pith_short_12: WKLIMBD7UQAM · pith_short_16: WKLIMBD7UQAM3FQY · pith_short_8: WKLIMBD7

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/WKLIMBD7UQAM3FQYNYBJA2M6AI \
  | 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: b29686047fa400cd96186e0290699e021b32f9849e56e875d8ff6cb984d6daed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dd9c4ab8642ada6e0fd0c3f8e0d368ebef1e9d569527c8fc324dbcc08c13b0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-23T22:42:15Z",
    "title_canon_sha256": "3de0ffe61b379363f815d9cc8032edb53d92ebdb1b4810e4e609f463edb16922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4715",
    "kind": "arxiv",
    "version": 1
  }
}