Pith Number

pith:SY3TCGKE

pith:2013:SY3TCGKEKXHUL5ESSI4HJT6Y6J

not attested not anchored not stored refs pending

On permutation polytopes - notions of equivalence

Barbara Baumeister, Matthias Grueninger

arxiv:1301.2080 v2 · 2013-01-10 · math.CO · math.GR · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SY3TCGKEKXHUL5ESSI4HJT6Y6J}

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	2026-05-18T02:54:56.396215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

963731194455cf45f492923874cfd8f272434a9dec6bbb17dcd2b1b37c38d860

Aliases

arxiv: 1301.2080 · arxiv_version: 1301.2080v2 · doi: 10.48550/arxiv.1301.2080 · pith_short_12: SY3TCGKEKXHU · pith_short_16: SY3TCGKEKXHUL5ES · pith_short_8: SY3TCGKE

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/SY3TCGKEKXHUL5ESSI4HJT6Y6J \
  | 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: 963731194455cf45f492923874cfd8f272434a9dec6bbb17dcd2b1b37c38d860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fad7016f6b16da51ed2b676e7b842113266603ad9f9a968a9cbefd77763d9081",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-10T10:54:53Z",
    "title_canon_sha256": "0961202da3fa43f5059e9beaf5e1895e6a23385a4a4eeebbdc89108d90dbef0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2080",
    "kind": "arxiv",
    "version": 2
  }
}