Pith Number

pith:CHLL7OKL

pith:2014:CHLL7OKLU4PZVALLYERJVZ4B7D

not attested not anchored not stored refs pending

Phylogenetic invariants for $\mathbb{Z}_3$ scheme-theoretically

Maria Donten-Bury

arxiv:1405.4169 v2 · 2014-05-16 · math.AG · 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{CHLL7OKLU4PZVALLYERJVZ4B7D}

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	2026-05-18T01:31:53.411510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11d6bfb94ba71f9a816bc1229ae781f8d98e91d0ca501370246c3cfefc0bc6c8

Aliases

arxiv: 1405.4169 · arxiv_version: 1405.4169v2 · doi: 10.48550/arxiv.1405.4169 · pith_short_12: CHLL7OKLU4PZ · pith_short_16: CHLL7OKLU4PZVALL · pith_short_8: CHLL7OKL

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/CHLL7OKLU4PZVALLYERJVZ4B7D \
  | 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: 11d6bfb94ba71f9a816bc1229ae781f8d98e91d0ca501370246c3cfefc0bc6c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "519e21add743c5b7b98f9b68fe3c2c4cf330a2c49f78f4b647517347bbbe8744",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-05-16T13:46:15Z",
    "title_canon_sha256": "5a36b61862201409cb435c562c5a21fdb2d618c5ee97b2df702d7b9f915bcf16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4169",
    "kind": "arxiv",
    "version": 2
  }
}