Pith Number

pith:FS7ER2QT

pith:2017:FS7ER2QTH3GWIBZNON6YIJONDT

not attested not anchored not stored refs pending

Rooted trees with the same plucking polynomial

Jozef Przytycki, Seung Yeop Yang, Sujoy Mukherjee, Xiao Wang, Zhiyun Cheng

arxiv:1702.02004 v1 · 2017-02-07 · math.GT · 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{FS7ER2QTH3GWIBZNON6YIJONDT}

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	2026-05-17T23:39:42.278622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cbe48ea133ecd64072d737d8425cd1ce14a5ad854cd2ad9f4bdd31368a03d49

Aliases

arxiv: 1702.02004 · arxiv_version: 1702.02004v1 · doi: 10.48550/arxiv.1702.02004 · pith_short_12: FS7ER2QTH3GW · pith_short_16: FS7ER2QTH3GWIBZN · pith_short_8: FS7ER2QT

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/FS7ER2QTH3GWIBZNON6YIJONDT \
  | 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: 2cbe48ea133ecd64072d737d8425cd1ce14a5ad854cd2ad9f4bdd31368a03d49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bde25df601a4ef26e38756cdf6160dd4950dfa9fde7128de13e62a54d8a3d8a6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-02-07T13:28:46Z",
    "title_canon_sha256": "460db223caf1d8fa2e4c8a01fe2bf6ab179cb716e9ac2cbe4950ac8764662786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02004",
    "kind": "arxiv",
    "version": 1
  }
}