Pith Number

pith:J47JKH2L

pith:2016:J47JKH2LZ25E43VBZKLI7UU2VH

not attested not anchored not stored refs pending

Dimensional reduction for the general Markov model on phylogenetic trees

Jeremy G Sumner

arxiv:1602.07780 v4 · 2016-02-25 · q-bio.PE · math.AG · math.RT · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J47JKH2LZ25E43VBZKLI7UU2VH}

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	2026-05-18T00:56:31.284908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f3e951f4bceba4e6ea1ca968fd29aa9d84ab023f71dce53eb6ed0f9a6a5f9cd

Aliases

arxiv: 1602.07780 · arxiv_version: 1602.07780v4 · doi: 10.48550/arxiv.1602.07780 · pith_short_12: J47JKH2LZ25E · pith_short_16: J47JKH2LZ25E43VB · pith_short_8: J47JKH2L

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/J47JKH2LZ25E43VBZKLI7UU2VH \
  | 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: 4f3e951f4bceba4e6ea1ca968fd29aa9d84ab023f71dce53eb6ed0f9a6a5f9cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7036967aaeafa558d4d319dc82ce094ec166d7ec7b389d36288b9da2dc4002",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2016-02-25T03:08:45Z",
    "title_canon_sha256": "0a331ffbe6bb9cd6aad2e11eee0b2c8babdb57cec235611038510f15bc898445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07780",
    "kind": "arxiv",
    "version": 4
  }
}