Pith Number

pith:ZULGCPGR

pith:2017:ZULGCPGR74I2FOKKKTUF2NJCKP

not attested not anchored not stored refs pending

On subgraphs of $C_{2k}$-free graphs and a problem of K\"uhn and Osthus

Abhishek Methuku, Casey Tompkins, D\'aniel Gr\'osz

arxiv:1708.05454 v1 · 2017-08-17 · 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{ZULGCPGR74I2FOKKKTUF2NJCKP}

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	2026-05-18T00:37:50.017196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd16613cd1ff11a2b94a54e85d352253fe992b140b02ec442680349656610658

Aliases

arxiv: 1708.05454 · arxiv_version: 1708.05454v1 · doi: 10.48550/arxiv.1708.05454 · pith_short_12: ZULGCPGR74I2 · pith_short_16: ZULGCPGR74I2FOKK · pith_short_8: ZULGCPGR

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/ZULGCPGR74I2FOKKKTUF2NJCKP \
  | 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: cd16613cd1ff11a2b94a54e85d352253fe992b140b02ec442680349656610658

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b7466b79fe6b8801571bdc8b35389f848e1f0eb39ddabbeac0de45a79484b57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-17T22:43:55Z",
    "title_canon_sha256": "b3153c4b55a1edcd7869fd9c10f2dbdc5d06bdbf89a01f61fe8ab1383702d5d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05454",
    "kind": "arxiv",
    "version": 1
  }
}