Pith Number

pith:UKVVHWPX

pith:2015:UKVVHWPXVUJDECYUPWX2KLUJON

not attested not anchored not stored refs pending

Homogenization via sprinkling

Itai Benjamini, Vincent Tassion

arxiv:1505.06069 v1 · 2015-05-22 · 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{UKVVHWPXVUJDECYUPWX2KLUJON}

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	2026-05-18T02:03:49.223396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2ab53d9f7ad12320b147dafa52e89735e5a52f947fe8c3a1088df370ac296cc

Aliases

arxiv: 1505.06069 · arxiv_version: 1505.06069v1 · doi: 10.48550/arxiv.1505.06069 · pith_short_12: UKVVHWPXVUJD · pith_short_16: UKVVHWPXVUJDECYU · pith_short_8: UKVVHWPX

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/UKVVHWPXVUJDECYUPWX2KLUJON \
  | 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: a2ab53d9f7ad12320b147dafa52e89735e5a52f947fe8c3a1088df370ac296cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b40867223721994a7463538e08cf27a3560cb70462fe1933c018db97d86330e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-22T13:33:42Z",
    "title_canon_sha256": "2f290fb71206123e0e77184ade0817d95cdd1024a6a84ccd2fae36168ed3d9b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06069",
    "kind": "arxiv",
    "version": 1
  }
}