Pith Number

pith:HHBM44AC

pith:2016:HHBM44ACH6IIJL3HU6X5VYTDRM

not attested not anchored not stored refs pending

Brochette percolation

Gady Kozma, Hugo Duminil-Copin, Marcelo R. Hilario, Vladas Sidoravicius

arxiv:1608.04963 v2 · 2016-08-17 · 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{HHBM44ACH6IIJL3HU6X5VYTDRM}

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	2026-05-18T00:46:04.394867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39c2ce70023f9084af67a7afdae2638b0d7a2e1560b749f17070dafdda887175

Aliases

arxiv: 1608.04963 · arxiv_version: 1608.04963v2 · doi: 10.48550/arxiv.1608.04963 · pith_short_12: HHBM44ACH6II · pith_short_16: HHBM44ACH6IIJL3H · pith_short_8: HHBM44AC

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/HHBM44ACH6IIJL3HU6X5VYTDRM \
  | 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: 39c2ce70023f9084af67a7afdae2638b0d7a2e1560b749f17070dafdda887175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d44b9df9a5e14f96b155708838d39aeba3136b69e3ee7f30c5a2afed2a9fd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-17T13:41:53Z",
    "title_canon_sha256": "3689f5a29952036f2b2c67b889315f8aac79e9cbd6ee6ac358d653aed0930c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04963",
    "kind": "arxiv",
    "version": 2
  }
}