Pith Number

pith:LKISNJQP

pith:2017:LKISNJQPDRUXESVP44P5QFN57U

not attested not anchored not stored refs pending

The SNPR neighbourhood of tree-child networks

Jonathan Klawitter

arxiv:1707.09579 v2 · 2017-07-30 · 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{LKISNJQPDRUXESVP44P5QFN57U}

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	2026-05-18T00:03:19.579141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a9126a60f1c69724aafe71fd815bdfd32957fd37e5937e8753e3c25f4fd92e8

Aliases

arxiv: 1707.09579 · arxiv_version: 1707.09579v2 · doi: 10.48550/arxiv.1707.09579 · pith_short_12: LKISNJQPDRUX · pith_short_16: LKISNJQPDRUXESVP · pith_short_8: LKISNJQP

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/LKISNJQPDRUXESVP44P5QFN57U \
  | 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: 5a9126a60f1c69724aafe71fd815bdfd32957fd37e5937e8753e3c25f4fd92e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e1b554acc532f6aa252de51435ba78ac55ac9b1cc14e221c72f9c1fd03dd99",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-30T03:34:56Z",
    "title_canon_sha256": "03c86096cd79aa430af0a48702a176529d971eec548b848cf4e290515eb0be0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09579",
    "kind": "arxiv",
    "version": 2
  }
}