Pith Number

pith:EJHDJZWW

pith:2007:EJHDJZWWC76VFM2SAPA2EQ2M7L

not attested not anchored not stored refs pending

Small permutation classes

Vincent Vatter

arxiv:0712.4006 v3 · 2007-12-24 · 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{EJHDJZWWC76VFM2SAPA2EQ2M7L}

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	2026-05-18T01:17:38.278426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

224e34e6d617fd52b35203c1a2434cfafa8acebf988e9024fb49272703844fb2

Aliases

arxiv: 0712.4006 · arxiv_version: 0712.4006v3 · doi: 10.48550/arxiv.0712.4006 · pith_short_12: EJHDJZWWC76V · pith_short_16: EJHDJZWWC76VFM2S · pith_short_8: EJHDJZWW

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/EJHDJZWWC76VFM2SAPA2EQ2M7L \
  | 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: 224e34e6d617fd52b35203c1a2434cfafa8acebf988e9024fb49272703844fb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b27c79621f7408e9aa4c60d3372218b2ecaf1c3f5dbf2735127f34b88a457320",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2007-12-24T15:15:44Z",
    "title_canon_sha256": "f5f9c410b4422cdc8af8c6142b3d2e17bd6ca48cf8c7690d9e99eb4e1c12cf03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.4006",
    "kind": "arxiv",
    "version": 3
  }
}