Pith Number

pith:BEJT6JHJ

pith:2015:BEJT6JHJHHRGK2YYQ5MI6TMWKB

not attested not anchored not stored refs pending

Representing Permutations with Few Moves

Alexander E. Holroyd, Lev Nachmanson, Sergey Bereg, Sergey Pupyrev

arxiv:1508.03674 v1 · 2015-08-14 · 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{BEJT6JHJHHRGK2YYQ5MI6TMWKB}

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	2026-05-18T01:35:15.458342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09133f24e939e2656b1887588f4d96505a926f07be459eecf3718080c66abc16

Aliases

arxiv: 1508.03674 · arxiv_version: 1508.03674v1 · doi: 10.48550/arxiv.1508.03674 · pith_short_12: BEJT6JHJHHRG · pith_short_16: BEJT6JHJHHRGK2YY · pith_short_8: BEJT6JHJ

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/BEJT6JHJHHRGK2YYQ5MI6TMWKB \
  | 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: 09133f24e939e2656b1887588f4d96505a926f07be459eecf3718080c66abc16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1194917981902dc74f282ddaf789c7a060df3bdfc79239ad0825e010c3b2612a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-14T23:19:17Z",
    "title_canon_sha256": "72d61609df82114ab26f177b2fe6d3622bbc76138a3340cab508237f1364fa11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03674",
    "kind": "arxiv",
    "version": 1
  }
}