Pith Number

pith:L5263PBO

pith:2016:L5263PBODXM27RVCTJ2IQRR6SG

not attested not anchored not stored refs pending

$(\delta, \chi_{_{\sf FF}})$-bounded families of graphs

Manouchehr Zaker

arxiv:1605.04267 v1 · 2016-05-13 · 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{L5263PBODXM27RVCTJ2IQRR6SG}

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	2026-05-18T01:14:53.865347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f75edbc2e1dd9afc6a29a7488463e919be34470b70b493e3a11e9401ccc67e2

Aliases

arxiv: 1605.04267 · arxiv_version: 1605.04267v1 · doi: 10.48550/arxiv.1605.04267 · pith_short_12: L5263PBODXM2 · pith_short_16: L5263PBODXM27RVC · pith_short_8: L5263PBO

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/L5263PBODXM27RVCTJ2IQRR6SG \
  | 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: 5f75edbc2e1dd9afc6a29a7488463e919be34470b70b493e3a11e9401ccc67e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "266a82e1794a7c093545de4c8e8af75be46da1879a0f3ab1aec44ce4fa16471e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-13T17:40:02Z",
    "title_canon_sha256": "7d88754f326fa2a5b0b4215c3a0b14f31cae6c10dc63b994edaec50dd2107963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04267",
    "kind": "arxiv",
    "version": 1
  }
}