Pith Number

pith:X4JYKL4V

pith:2013:X4JYKL4VY5NXYAQWFM6VP7RMA5

not attested not anchored not stored refs pending

The Minimal Automorphism-Free Tree

Ilhee Kim, Paul Seymour, Ringi Kim

arxiv:1303.1551 v1 · 2013-03-06 · 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{X4JYKL4VY5NXYAQWFM6VP7RMA5}

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	2026-05-18T03:31:42.292180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf13852f95c75b7c02162b3d57fe2c07567faab06ff0549a1426c7f6d7e369c1

Aliases

arxiv: 1303.1551 · arxiv_version: 1303.1551v1 · doi: 10.48550/arxiv.1303.1551 · pith_short_12: X4JYKL4VY5NX · pith_short_16: X4JYKL4VY5NXYAQW · pith_short_8: X4JYKL4V

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/X4JYKL4VY5NXYAQWFM6VP7RMA5 \
  | 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: bf13852f95c75b7c02162b3d57fe2c07567faab06ff0549a1426c7f6d7e369c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e870f0f2da8c0c2e413cdaef2da7d7992065f2dc48afce6c5c273a86051ae273",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-06T21:23:56Z",
    "title_canon_sha256": "8491dfb4d3485f00b9d3f235de79cc68a5d0f78b2fb38cac01f028ef485a49be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1551",
    "kind": "arxiv",
    "version": 1
  }
}