Pith Number

pith:4QXNTS4G

pith:2016:4QXNTS4GDJXDFOFQKHPKNLG5R3

not attested not anchored not stored refs pending

Congruences between word length statistics for the finitary alternating and symmetric groups

Robert Dicks, Sarah Fleming, Tessa Cotron

arxiv:1607.03199 v1 · 2016-07-11 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QXNTS4GDJXDFOFQKHPKNLG5R3}

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	2026-05-18T01:11:09.576871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e42ed9cb861a6e32b8b051dea6acdd8ef75e3389faab28b0ca97b61eacd50616

Aliases

arxiv: 1607.03199 · arxiv_version: 1607.03199v1 · doi: 10.48550/arxiv.1607.03199 · pith_short_12: 4QXNTS4GDJXD · pith_short_16: 4QXNTS4GDJXDFOFQ · pith_short_8: 4QXNTS4G

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/4QXNTS4GDJXDFOFQKHPKNLG5R3 \
  | 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: e42ed9cb861a6e32b8b051dea6acdd8ef75e3389faab28b0ca97b61eacd50616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f29526cc7ed65b3248a0f9153e4d49024ececa50c20997f0350a2284596ae5fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-11T23:42:00Z",
    "title_canon_sha256": "7b870acaff36c09849cb8b56cfd1efbebafaa750091984ccb3d6485dfd39a42e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03199",
    "kind": "arxiv",
    "version": 1
  }
}