Pith Number

pith:DMDL5I75

pith:2013:DMDL5I755L6TKTCC6SP3HVZDN2

not attested not anchored not stored refs pending

On the effective and automatic enumeration of polynomial permutation classes

Cheyne Homberger, Vince Vatter

arxiv:1308.4946 v3 · 2013-08-22 · 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{DMDL5I755L6TKTCC6SP3HVZDN2}

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	2026-05-18T01:26:58.572784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b06bea3fdeafd354c42f49fb3d7236eaf54fffedfd91b5a5deeee54e7d22391

Aliases

arxiv: 1308.4946 · arxiv_version: 1308.4946v3 · doi: 10.48550/arxiv.1308.4946 · pith_short_12: DMDL5I755L6T · pith_short_16: DMDL5I755L6TKTCC · pith_short_8: DMDL5I75

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/DMDL5I755L6TKTCC6SP3HVZDN2 \
  | 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: 1b06bea3fdeafd354c42f49fb3d7236eaf54fffedfd91b5a5deeee54e7d22391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e099cc66e3c21e5299413c9da06bb2b3e63c4eddba3cc721ed33f0dcc0782315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-22T18:32:43Z",
    "title_canon_sha256": "7680d10544a2c4e1dd0f5913109604ae2a01084865cfb9245849dc3a20419d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4946",
    "kind": "arxiv",
    "version": 3
  }
}