Pith Number

pith:7JDT2CDW

pith:2008:7JDT2CDWQX4BJNLLKOKEQBPMKI

not attested not anchored not stored refs pending

Markov invariants and the isotropy subgroup of a quartet tree

J G Sumner, P D Jarvis

arxiv:0809.3070 v2 · 2008-09-18 · q-bio.QM · 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{7JDT2CDWQX4BJNLLKOKEQBPMKI}

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	2026-05-18T03:57:25.539129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa473d087685f814b56b53944805ec5233724aff810dd0d5c904db395c0e0d75

Aliases

arxiv: 0809.3070 · arxiv_version: 0809.3070v2 · doi: 10.48550/arxiv.0809.3070 · pith_short_12: 7JDT2CDWQX4B · pith_short_16: 7JDT2CDWQX4BJNLL · pith_short_8: 7JDT2CDW

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/7JDT2CDWQX4BJNLLKOKEQBPMKI \
  | 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: fa473d087685f814b56b53944805ec5233724aff810dd0d5c904db395c0e0d75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e456781754e84b364f8da3eed4b0cafddec2a933352551f0d2e9a6fe33384a7b",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2008-09-18T06:41:49Z",
    "title_canon_sha256": "ef80615c24f2008e67779ce1e7fa306399540d44cc7e7d91de7716bac4c61cd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3070",
    "kind": "arxiv",
    "version": 2
  }
}