Pith Number

pith:YUJFJSHQ

pith:2007:YUJFJSHQ4WBS6ESNLAIH4CIBF5

not attested not anchored not stored refs pending

Toric ideals of phylogenetic invariants for the general group-based model on claw trees $K_{1,n}$

Julia Chifman, Sonja Petrovi\'c

arxiv:math/0702368 v3 · 2007-02-13 · math.AC · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUJFJSHQ4WBS6ESNLAIH4CIBF5}

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	2026-05-18T01:09:15.436186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c51254c8f0e5832f124d58107e09012f701174052418889f270051b7367ea37e

Aliases

arxiv: math/0702368 · arxiv_version: math/0702368v3 · doi: 10.48550/arxiv.math/0702368 · pith_short_12: YUJFJSHQ4WBS · pith_short_16: YUJFJSHQ4WBS6ESN · pith_short_8: YUJFJSHQ

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/YUJFJSHQ4WBS6ESNLAIH4CIBF5 \
  | 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: c51254c8f0e5832f124d58107e09012f701174052418889f270051b7367ea37e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4844ed31874706ffe246616c8ff067c99b9280249e21d8eb41a93a0dbd08bd32",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2007-02-13T15:27:11Z",
    "title_canon_sha256": "e6f60efa04861539a048a578b130f80a71dbe9583d4823f230719918f2851d01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702368",
    "kind": "arxiv",
    "version": 3
  }
}