Pith Number

pith:D35L45WI

pith:2013:D35L45WIMZUT6PHMSBIDXJO2SB

not attested not anchored not stored refs pending

Packing $(2^{k+1}-1)$-order perfect binary trees into (\emph{k}+1)-connected graph

Changqiao Xu, Hongke Zhang, Jianfeng Guan, Jia Zhao

arxiv:1309.3825 v1 · 2013-09-16 · 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{D35L45WIMZUT6PHMSBIDXJO2SB}

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	2026-05-18T03:13:20.458607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1efabe76c866693f3cec90503ba5da906709e4c24cd8d6949f47f96edf69f9bb

Aliases

arxiv: 1309.3825 · arxiv_version: 1309.3825v1 · doi: 10.48550/arxiv.1309.3825 · pith_short_12: D35L45WIMZUT · pith_short_16: D35L45WIMZUT6PHM · pith_short_8: D35L45WI

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/D35L45WIMZUT6PHMSBIDXJO2SB \
  | 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: 1efabe76c866693f3cec90503ba5da906709e4c24cd8d6949f47f96edf69f9bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91403cd1232a8b19dba5f77d8cf1674b3a36e2b7d5a5d460a71b4d62ad531f2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-16T03:53:13Z",
    "title_canon_sha256": "7d4ed2c487c8b220ec9e96b6c586ec97426f0a9f4becd5271f2f329a4d0314db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3825",
    "kind": "arxiv",
    "version": 1
  }
}