Pith Number

pith:WWE4VKMG

pith:2011:WWE4VKMGZCNBHLX4BSSOMX7UUJ

not attested not anchored not stored refs pending

Permutation Polytopes of Cyclic Groups

Andreas Paffenholz, Barbara Baumeister, Benjamin Nill, Christian Haase

arxiv:1109.0191 v1 · 2011-09-01 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWE4VKMGZCNBHLX4BSSOMX7UUJ}

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	2026-05-18T04:14:17.152613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b589caa986c89a13aefc0ca4e65ff4a2638bf414c6a5d216198b7fc28c2f9ae5

Aliases

arxiv: 1109.0191 · arxiv_version: 1109.0191v1 · doi: 10.48550/arxiv.1109.0191 · pith_short_12: WWE4VKMGZCNB · pith_short_16: WWE4VKMGZCNBHLX4 · pith_short_8: WWE4VKMG

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/WWE4VKMGZCNBHLX4BSSOMX7UUJ \
  | 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: b589caa986c89a13aefc0ca4e65ff4a2638bf414c6a5d216198b7fc28c2f9ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf888fd410f2bef1f898aa2c7c6f041b0449ca056b01034d770fe06c527e99e7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-01T14:21:16Z",
    "title_canon_sha256": "11d65a2ad2b23adb65daf60430684020625693b980ce67c8130f08a0aa4c9cb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0191",
    "kind": "arxiv",
    "version": 1
  }
}