Pith Number

pith:STLKWZAW

pith:2021:STLKWZAWPV72G36745GNYTZVML

not attested not anchored not stored refs pending

A lattice structure for ancestral configurations arising from the relationship between gene trees and species trees

Egor Lappo, Noah A. Rosenberg

arxiv:2111.10456 v3 · 2021-11-19 · q-bio.PE · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{STLKWZAWPV72G36745GNYTZVML}

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	2026-05-22T01:03:13.220395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94d6ab64167d7fa36fdfe74cdc4f3562e5c3d02adb8b132a6bc24124030f06af

Aliases

arxiv: 2111.10456 · arxiv_version: 2111.10456v3 · doi: 10.48550/arxiv.2111.10456 · pith_short_12: STLKWZAWPV72 · pith_short_16: STLKWZAWPV72G367 · pith_short_8: STLKWZAW

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/STLKWZAWPV72G36745GNYTZVML \
  | 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: 94d6ab64167d7fa36fdfe74cdc4f3562e5c3d02adb8b132a6bc24124030f06af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dccfdbb88f2545d0491c92ad389f4066c275aada264ce634dfa423117b8bf2f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2021-11-19T22:08:36Z",
    "title_canon_sha256": "156bb5c7933fbf561c7533c25cb46094e2aeaff454ddde00e599432625f2b5d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.10456",
    "kind": "arxiv",
    "version": 3
  }
}