Pith Number

pith:ZJIQGZAY

pith:2010:ZJIQGZAY2K3MJSRQ7VCYWYTEJ3

not attested not anchored not stored refs pending

Integral trees of odd diameters

A. Mohammadian, B. Tayfeh-Rezaie, E. Ghorbani

arxiv:1011.4666 v1 · 2010-11-21 · 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{ZJIQGZAY2K3MJSRQ7VCYWYTEJ3}

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	2026-05-18T04:35:04.227600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca51036418d2b6c4ca30fd458b62644efe99f38ba437e0c45e78889583a155db

Aliases

arxiv: 1011.4666 · arxiv_version: 1011.4666v1 · doi: 10.48550/arxiv.1011.4666 · pith_short_12: ZJIQGZAY2K3M · pith_short_16: ZJIQGZAY2K3MJSRQ · pith_short_8: ZJIQGZAY

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/ZJIQGZAY2K3MJSRQ7VCYWYTEJ3 \
  | 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: ca51036418d2b6c4ca30fd458b62644efe99f38ba437e0c45e78889583a155db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "993b794ff2200d4591234218f61602dca547ccb0b4672fa95e70f40832a84d67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-21T14:20:12Z",
    "title_canon_sha256": "acb18adc7b20bf53df77d72c1e178d83dafa456384d9aedc08a11933d36b4a3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4666",
    "kind": "arxiv",
    "version": 1
  }
}