Pith Number

pith:DOHMR2RL

pith:2012:DOHMR2RLOUICRZWQFUPLCPTIMF

not attested not anchored not stored refs pending

Cylinders' percolation in three dimensions

Augusto Teixeira, Marcelo Hil\'ario, Vladas Sidoravicius

arxiv:1202.1684 v1 · 2012-02-08 · 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{DOHMR2RLOUICRZWQFUPLCPTIMF}

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	2026-05-18T04:02:51.467231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b8ec8ea2b751028e6d02d1eb13e68617875a3c3bc4010bcb78685cb230f9717

Aliases

arxiv: 1202.1684 · arxiv_version: 1202.1684v1 · doi: 10.48550/arxiv.1202.1684 · pith_short_12: DOHMR2RLOUIC · pith_short_16: DOHMR2RLOUICRZWQ · pith_short_8: DOHMR2RL

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/DOHMR2RLOUICRZWQFUPLCPTIMF \
  | 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: 1b8ec8ea2b751028e6d02d1eb13e68617875a3c3bc4010bcb78685cb230f9717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "952ab47fe022a1eeda67f6696d8d2ef215e7dd3cc0b4d93819ddc265299c132c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-08T13:01:04Z",
    "title_canon_sha256": "e91b9d9f5c54fba545e5771d45bf81060a69e06ac8a6619e36cad37402a272eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1684",
    "kind": "arxiv",
    "version": 1
  }
}