Pith Number

pith:5LJIR7XA

pith:2015:5LJIR7XAR3PQCOGVATQBDRTUIF

not attested not anchored not stored refs pending

Generalized Hultman Numbers and Cycle Structures of Breakpoint Graphs

Anna Pologova, Max A. Alekseyev, Nikita Alexeev

arxiv:1503.05285 v3 · 2015-03-18 · q-bio.GN · 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{5LJIR7XAR3PQCOGVATQBDRTUIF}

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	2026-05-18T00:50:29.952787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ead288fee08edf0138d504e011c674417d82db64e282a9c00174156533b39072

Aliases

arxiv: 1503.05285 · arxiv_version: 1503.05285v3 · doi: 10.48550/arxiv.1503.05285 · pith_short_12: 5LJIR7XAR3PQ · pith_short_16: 5LJIR7XAR3PQCOGV · pith_short_8: 5LJIR7XA

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/5LJIR7XAR3PQCOGVATQBDRTUIF \
  | 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: ead288fee08edf0138d504e011c674417d82db64e282a9c00174156533b39072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d525ccdca2843dcb591e4965e96913d2927f0353811034e649cc94b0024a6c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.GN",
    "submitted_at": "2015-03-18T05:02:19Z",
    "title_canon_sha256": "13c8615acebb84b2961efd598a55775a0d345e095bcd51573d7c9a361954d266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05285",
    "kind": "arxiv",
    "version": 3
  }
}