Pith Number

pith:IVVU2S7S

pith:2015:IVVU2S7S3YDQWD633TNWS23O7Q

not attested not anchored not stored refs pending

Bernoulli line percolation

Marcelo R. Hil\'ario, Vladas Sidoravicius

arxiv:1509.06204 v1 · 2015-09-21 · 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{IVVU2S7S3YDQWD633TNWS23O7Q}

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	2026-05-18T01:32:35.581990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

456b4d4bf2de070b0fdbdcdb696b6efc387b71779022ca346651cfc6bb36682a

Aliases

arxiv: 1509.06204 · arxiv_version: 1509.06204v1 · doi: 10.48550/arxiv.1509.06204 · pith_short_12: IVVU2S7S3YDQ · pith_short_16: IVVU2S7S3YDQWD63 · pith_short_8: IVVU2S7S

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/IVVU2S7S3YDQWD633TNWS23O7Q \
  | 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: 456b4d4bf2de070b0fdbdcdb696b6efc387b71779022ca346651cfc6bb36682a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e902420ffaa9540a04653056225d191603d2195507f16d5822d28040dba3377b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-21T12:35:40Z",
    "title_canon_sha256": "76e67b605429524679e12c4b63bc3ff29afa7829f6065b0454f271290750aa98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06204",
    "kind": "arxiv",
    "version": 1
  }
}