Pith Number

pith:XDKXX5DA

pith:2013:XDKXX5DAQRJ6C6NFINUGNCYD77

not attested not anchored not stored refs pending

Generating permutations with a given major index

Vincent Vajnovszki

arxiv:1302.6558 v2 · 2013-02-26 · 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{XDKXX5DAQRJ6C6NFINUGNCYD77}

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	2026-05-18T03:32:04.661443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d57bf4608453e179a54368668b03ffdd12eaa4cd65d4dc6ceeecd4417898e1

Aliases

arxiv: 1302.6558 · arxiv_version: 1302.6558v2 · doi: 10.48550/arxiv.1302.6558 · pith_short_12: XDKXX5DAQRJ6 · pith_short_16: XDKXX5DAQRJ6C6NF · pith_short_8: XDKXX5DA

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/XDKXX5DAQRJ6C6NFINUGNCYD77 \
  | 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: b8d57bf4608453e179a54368668b03ffdd12eaa4cd65d4dc6ceeecd4417898e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd54de74fd0429e8e4c2d54baeda6e8772db38839ddd54162603d42bb22cfb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-26T19:59:23Z",
    "title_canon_sha256": "72a2a9d3392e3048f7b07e73307abac441fb63bd278276e7acf24b245f0b432b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6558",
    "kind": "arxiv",
    "version": 2
  }
}