Pith Number

pith:3GJST76F

pith:2018:3GJST76FNV36N46TP4CVOGHD6F

not attested not anchored not stored refs pending

On the roots of the subtree polynomial

Jason I. Brown, Lucas Mol

arxiv:1810.08655 v1 · 2018-10-19 · 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{3GJST76FNV36N46TP4CVOGHD6F}

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	2026-05-18T00:02:43.886813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d99329ffc56d77e6f3d37f055718e3f14d2771c171b1f7b94de483f171c01784

Aliases

arxiv: 1810.08655 · arxiv_version: 1810.08655v1 · doi: 10.48550/arxiv.1810.08655 · pith_short_12: 3GJST76FNV36 · pith_short_16: 3GJST76FNV36N46T · pith_short_8: 3GJST76F

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/3GJST76FNV36N46TP4CVOGHD6F \
  | 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: d99329ffc56d77e6f3d37f055718e3f14d2771c171b1f7b94de483f171c01784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24c29ec10669d9d4a1b8f75d81b9b29fa24330a4f8e1569539f94e5571b8f481",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-19T19:11:22Z",
    "title_canon_sha256": "13a142a6dc3bcd53b5411f9442ffa0975e1267f6dc97114318574c74dee4acca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08655",
    "kind": "arxiv",
    "version": 1
  }
}