Pith Number

pith:WG7FMKZR

pith:2019:WG7FMKZRMBLE2EXQYJM4NJKEF5

not attested not anchored not stored refs pending

The isometry group of phylogenetic tree space is $S_n$

Gillian Grindstaff

arxiv:1901.02982 v2 · 2019-01-10 · math.CO · math.MG · 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{WG7FMKZRMBLE2EXQYJM4NJKEF5}

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	2026-05-17T23:49:50.245451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1be562b3160564d12f0c259c6a5442f5d4728712de174f421601dafe67a04d3

Aliases

arxiv: 1901.02982 · arxiv_version: 1901.02982v2 · doi: 10.48550/arxiv.1901.02982 · pith_short_12: WG7FMKZRMBLE · pith_short_16: WG7FMKZRMBLE2EXQ · pith_short_8: WG7FMKZR

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/WG7FMKZRMBLE2EXQYJM4NJKEF5 \
  | 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: b1be562b3160564d12f0c259c6a5442f5d4728712de174f421601dafe67a04d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "350fea8187f8fe5371c71e79400361f0d2b97b348b6850fa82ebe818a44d01bb",
    "cross_cats_sorted": [
      "math.MG",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-10T00:33:57Z",
    "title_canon_sha256": "fbda7d5598e6ae1a4c6c4b5d1564ba22487c99012d3eae77bab71534dd9e2d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02982",
    "kind": "arxiv",
    "version": 2
  }
}