Pith Number

pith:ID22UMXA

pith:2014:ID22UMXAWFT6YO5DXQAU6EYG4K

not attested not anchored not stored refs pending

Base Size Sets and Determining Sets

Erin M. McNicholas, Joshua D. Laison, Nicole S. Seaders

arxiv:1407.6046 v1 · 2014-07-22 · math.GR · 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{ID22UMXAWFT6YO5DXQAU6EYG4K}

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	2026-05-18T02:46:59.235461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f5aa32e0b167ec3ba3bc014f1306e2bceacd21d33b29fd79215758c440737e

Aliases

arxiv: 1407.6046 · arxiv_version: 1407.6046v1 · doi: 10.48550/arxiv.1407.6046 · pith_short_12: ID22UMXAWFT6 · pith_short_16: ID22UMXAWFT6YO5D · pith_short_8: ID22UMXA

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/ID22UMXAWFT6YO5DXQAU6EYG4K \
  | 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: 40f5aa32e0b167ec3ba3bc014f1306e2bceacd21d33b29fd79215758c440737e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c9cac715ad8b44b26c3ebd0e76d50cd21d7c08b591ee451e26e06c0f3efe779",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-22T21:21:47Z",
    "title_canon_sha256": "1b20a100a1fe16507401d2fb7d602d7924fc868abf46c70c4ac7d80db9598c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6046",
    "kind": "arxiv",
    "version": 1
  }
}