Pith Number

pith:NYLJPYHT

pith:2016:NYLJPYHTQIY4N6KYXDN5UXOJPA

not attested not anchored not stored refs pending

Transforming a matrix into a standard form

Akihiro Munemasa, Pritta Etriana Putri

arxiv:1610.07389 v2 · 2016-10-24 · 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{NYLJPYHTQIY4N6KYXDN5UXOJPA}

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	2026-05-18T00:59:41.522091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e1697e0f38231c6f958b8dbda5dc9782a1614e545be24fe398709387607278b

Aliases

arxiv: 1610.07389 · arxiv_version: 1610.07389v2 · doi: 10.48550/arxiv.1610.07389 · pith_short_12: NYLJPYHTQIY4 · pith_short_16: NYLJPYHTQIY4N6KY · pith_short_8: NYLJPYHT

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/NYLJPYHTQIY4N6KYXDN5UXOJPA \
  | 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: 6e1697e0f38231c6f958b8dbda5dc9782a1614e545be24fe398709387607278b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9371682be96ce48cba5e563efab03fb8f8e2c64eeb8a6d0bb2d6f815a81767f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-24T12:38:50Z",
    "title_canon_sha256": "df515fff363de2843acc7080f32ee83f2e4d051ff5f8311f2b7c61c9cc963f8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07389",
    "kind": "arxiv",
    "version": 2
  }
}