Pith Number

pith:SPYVXWST

pith:2010:SPYVXWSTWUQGJJOB2VQ54AHS3N

not attested not anchored not stored refs pending

Subclasses of the separable permutations

M. D. Atkinson, Michael H. Albert, Vincent Vatter

arxiv:1007.1014 v1 · 2010-07-06 · 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{SPYVXWSTWUQGJJOB2VQ54AHS3N}

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	2026-05-18T02:58:02.026681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f15bda53b52064a5c1d561de00f2db4c92c9678897e841e055c18ede732209

Aliases

arxiv: 1007.1014 · arxiv_version: 1007.1014v1 · doi: 10.48550/arxiv.1007.1014 · pith_short_12: SPYVXWSTWUQG · pith_short_16: SPYVXWSTWUQGJJOB · pith_short_8: SPYVXWST

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/SPYVXWSTWUQGJJOB2VQ54AHS3N \
  | 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: 93f15bda53b52064a5c1d561de00f2db4c92c9678897e841e055c18ede732209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d26ce07782ff44ab51e065d7b407aff43c220da1ebe1ea54b4060812ceb78a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-06T22:50:30Z",
    "title_canon_sha256": "18d1f16c9023e4a0434bffc894966cd86e597767f37b0475bd2bda73590b93ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1014",
    "kind": "arxiv",
    "version": 1
  }
}