Pith Number

pith:PCGYWTG6

pith:2014:PCGYWTG6T6ZJEMCVOFSDTM3UX4

not attested not anchored not stored refs pending

Random Affine Lattices

Jayadev S. Athreya

arxiv:1409.6355 v1 · 2014-09-22 · math.NT · 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{PCGYWTG6T6ZJEMCVOFSDTM3UX4}

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	2026-05-18T02:42:07.334585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788d8b4cde9fb2923055716439b374bf1b03090692fbcaf995b9ad482f2f1bf5

Aliases

arxiv: 1409.6355 · arxiv_version: 1409.6355v1 · doi: 10.48550/arxiv.1409.6355 · pith_short_12: PCGYWTG6T6ZJ · pith_short_16: PCGYWTG6T6ZJEMCV · pith_short_8: PCGYWTG6

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/PCGYWTG6T6ZJEMCVOFSDTM3UX4 \
  | 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: 788d8b4cde9fb2923055716439b374bf1b03090692fbcaf995b9ad482f2f1bf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "968ecd4f48712bc09dca99c1cd8a0aa8207e2fa39b380a2fdf0f051d48d9c116",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-22T22:02:31Z",
    "title_canon_sha256": "9ec50a1ca04a40e0cd193b2f08b208b0ed13e0c0d68ec8aa0a94128601352f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6355",
    "kind": "arxiv",
    "version": 1
  }
}