Pith Number

pith:MV6VIOPY

pith:2012:MV6VIOPYFHARUYYUYD23KQHCY5

not attested not anchored not stored refs pending

Integral trees with given nullity

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

arxiv:1207.1802 v2 · 2012-07-07 · 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{MV6VIOPYFHARUYYUYD23KQHCY5}

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	2026-05-18T02:18:04.551027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

657d5439f829c11a6314c0f5b540e2c74b5e775eea996700674f89e0b086f5ff

Aliases

arxiv: 1207.1802 · arxiv_version: 1207.1802v2 · doi: 10.48550/arxiv.1207.1802 · pith_short_12: MV6VIOPYFHAR · pith_short_16: MV6VIOPYFHARUYYU · pith_short_8: MV6VIOPY

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/MV6VIOPYFHARUYYUYD23KQHCY5 \
  | 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: 657d5439f829c11a6314c0f5b540e2c74b5e775eea996700674f89e0b086f5ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b6f0f8871f420698dba07a43b5e28724252682ad3127dc2f7f020578f3b517b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-07T15:13:37Z",
    "title_canon_sha256": "e36ce2f899201ffa2bacf88d47dca75fda36204744cf6dd2763f8685c0763405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1802",
    "kind": "arxiv",
    "version": 2
  }
}