Pith Number

pith:6H2AVCR6

pith:2012:6H2AVCR64CD4GTOYKOPMI7RDW4

not attested not anchored not stored refs pending

Threshold functions for distinct parts: revisiting Erdos-Lehner

\'Eva Czabarka, L\'aszl\'o Sz\'ekely, Matteo Marsili

arxiv:1209.5764 v2 · 2012-09-25 · 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{6H2AVCR64CD4GTOYKOPMI7RDW4}

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	2026-05-18T03:43:28.280908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f40a8a3ee087c34dd8539ec47e23b70c49482eed849a596e6395c1872d64ff

Aliases

arxiv: 1209.5764 · arxiv_version: 1209.5764v2 · doi: 10.48550/arxiv.1209.5764 · pith_short_12: 6H2AVCR64CD4 · pith_short_16: 6H2AVCR64CD4GTOY · pith_short_8: 6H2AVCR6

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/6H2AVCR64CD4GTOYKOPMI7RDW4 \
  | 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: f1f40a8a3ee087c34dd8539ec47e23b70c49482eed849a596e6395c1872d64ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1dacce5f649f17ef2cc0b0771dfb13eedeaa6027562419339c05f08b92522b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-25T20:55:37Z",
    "title_canon_sha256": "24f183530170f69c9d4c2db44090620b7d847e1b6f00d40798f4b5c5e3e05583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5764",
    "kind": "arxiv",
    "version": 2
  }
}