Pith Number

pith:LASH7PDX

pith:2012:LASH7PDX4V6JYTXASO27G5M22U

not attested not anchored not stored refs pending

Cycle structure of the interchange process and representation theory

Gady Kozma, Nathana\"el Berestycki

arxiv:1205.4753 v1 · 2012-05-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LASH7PDX4V6JYTXASO27G5M22U}

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	2026-05-18T03:55:11.741613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58247fbc77e57c9c4ee093b5f3759ad50858623a79bb94b0d88a1baac123531c

Aliases

arxiv: 1205.4753 · arxiv_version: 1205.4753v1 · doi: 10.48550/arxiv.1205.4753 · pith_short_12: LASH7PDX4V6J · pith_short_16: LASH7PDX4V6JYTXA · pith_short_8: LASH7PDX

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/LASH7PDX4V6JYTXASO27G5M22U \
  | 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: 58247fbc77e57c9c4ee093b5f3759ad50858623a79bb94b0d88a1baac123531c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9789dcfd80e7c58b2d93beb19ce5ef5949d2c14c2cdce9d9ed953d50f2f54180",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-21T21:19:17Z",
    "title_canon_sha256": "f6df3daa7f5da2f0250792979a1c2762a4938041bfb9859fb4d951d037b7e8d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4753",
    "kind": "arxiv",
    "version": 1
  }
}