Pith Number

pith:FU5JE33I

pith:2016:FU5JE33IIBVY7IYMF2R6OBPZVW

not attested not anchored not stored refs pending

Computing the joint distribution of the total tree length across loci in populations with variable size

Alexey Miroshnikov, Matthias Steinr\"ucken

arxiv:1609.08880 v5 · 2016-09-28 · q-bio.PE · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FU5JE33IIBVY7IYMF2R6OBPZVW}

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	2026-05-18T00:33:32.441299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d3a926f68406b8fa30c2ea3e705f9adb43148aeee2451e0ae9c556ccc237ba3

Aliases

arxiv: 1609.08880 · arxiv_version: 1609.08880v5 · doi: 10.48550/arxiv.1609.08880 · pith_short_12: FU5JE33IIBVY · pith_short_16: FU5JE33IIBVY7IYM · pith_short_8: FU5JE33I

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/FU5JE33IIBVY7IYMF2R6OBPZVW \
  | 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: 2d3a926f68406b8fa30c2ea3e705f9adb43148aeee2451e0ae9c556ccc237ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e1c79601c5ccecd184e76d534a05812ce3c26c1daa76112cfcb127ef8e7fe87",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2016-09-28T12:21:52Z",
    "title_canon_sha256": "ecef99cb293b7da45f49c5ec7fa095a8cbf5c7634a302496a151a9cfd7f1680c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08880",
    "kind": "arxiv",
    "version": 5
  }
}