Pith Number

pith:ZX53BTGO

pith:2010:ZX53BTGO24VZL3QTDQ3ZXQ3J3X

not attested not anchored not stored refs pending

A Computational Approach to the Graceful Tree Conjecture

Wenjie Fang

arxiv:1003.3045 v2 · 2010-03-15 · cs.DM · 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{ZX53BTGO24VZL3QTDQ3ZXQ3J3X}

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.

Cited by

1 paper in Pith

Graceful labelings of spiders with three-edge legs and pendant leaves at the center

Receipt and verification

First computed	2026-05-18T04:42:03.272411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdfbb0ccced72b95ee131c379bc369ddd6d9fe122ef11b7dafda1664c438fd3e

Aliases

arxiv: 1003.3045 · arxiv_version: 1003.3045v2 · doi: 10.48550/arxiv.1003.3045 · pith_short_12: ZX53BTGO24VZ · pith_short_16: ZX53BTGO24VZL3QT · pith_short_8: ZX53BTGO

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/ZX53BTGO24VZL3QTDQ3ZXQ3J3X \
  | 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: cdfbb0ccced72b95ee131c379bc369ddd6d9fe122ef11b7dafda1664c438fd3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f66789e55712a9e39730c8eea0595022fd75d89b25af5f6e0b0a00036673231",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-03-15T22:42:57Z",
    "title_canon_sha256": "e4bb147def4c6fcf28d9b9f583a64ad5bbd53c8669f2a6f104822bb6bab12f49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3045",
    "kind": "arxiv",
    "version": 2
  }
}