Pith Number

pith:MF23JHYD

pith:2016:MF23JHYDWBYGZ572CPC2UH6U7V

not attested not anchored not stored refs pending

Finite phylogenetic complexity and combinatorics of tables

Emanuele Ventura, Mateusz Micha{\l}ek

arxiv:1606.07263 v2 · 2016-06-23 · math.CO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MF23JHYDWBYGZ572CPC2UH6U7V}

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	2026-05-18T00:51:37.806435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6175b49f03b0706cf7fa13c5aa1fd4fd6e9fe3b9615d5a6f83e1473f5eff7529

Aliases

arxiv: 1606.07263 · arxiv_version: 1606.07263v2 · doi: 10.48550/arxiv.1606.07263 · pith_short_12: MF23JHYDWBYG · pith_short_16: MF23JHYDWBYGZ572 · pith_short_8: MF23JHYD

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/MF23JHYDWBYGZ572CPC2UH6U7V \
  | 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: 6175b49f03b0706cf7fa13c5aa1fd4fd6e9fe3b9615d5a6f83e1473f5eff7529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "426b91475bb6516daa628d6ec1b98a0f88bc9a9171c2681142fd4996462fe4a5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-23T10:40:17Z",
    "title_canon_sha256": "72610c01e309029080ce4fad1a919213c465453784f009b7f3a8f80fc2436ffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07263",
    "kind": "arxiv",
    "version": 2
  }
}