Pith Number

pith:UFTV4IP2

pith:2014:UFTV4IP2YZ4DA7R5NRSQYHXTCM

not attested not anchored not stored refs pending

Element order versus minimal degree in permutation groups: an old lemma with new applications

\'Akos Seress, L\'aszl\'o Babai

arxiv:1401.0489 v1 · 2014-01-02 · 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{UFTV4IP2YZ4DA7R5NRSQYHXTCM}

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	2026-05-18T03:03:23.087702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1675e21fac678307e3d6c650c1ef31338e4ff02ad78b7988f26d37a71a2e8ef

Aliases

arxiv: 1401.0489 · arxiv_version: 1401.0489v1 · doi: 10.48550/arxiv.1401.0489 · pith_short_12: UFTV4IP2YZ4D · pith_short_16: UFTV4IP2YZ4DA7R5 · pith_short_8: UFTV4IP2

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/UFTV4IP2YZ4DA7R5NRSQYHXTCM \
  | 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: a1675e21fac678307e3d6c650c1ef31338e4ff02ad78b7988f26d37a71a2e8ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47911cfba57b6f0072c195185e26a58672ff50a2b11605187b5256ed660ed145",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-02T18:07:54Z",
    "title_canon_sha256": "53144e24af30ba1e55c380dc2a1bea28887fb055e3ee9b820d95b56bd8c64f11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0489",
    "kind": "arxiv",
    "version": 1
  }
}