Pith Number

pith:2KQPKT3F

pith:2013:2KQPKT3FYL2HRG32L34POHHGOL

not attested not anchored not stored refs pending

The shape of large balls in highly supercritical percolation

Anne-Laure Basdevant (MODAL'X), Jean-Baptiste Gou\'er\'e (MAPMO), LPMA), Lucas Gerin (MODAL'X), Nathana\"el Enriquez (MODAL'X

arxiv:1305.0104 v1 · 2013-05-01 · 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{2KQPKT3FYL2HRG32L34POHHGOL}

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	2026-05-18T03:26:41.984905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2a0f54f65c2f4789b7a5ef8f71ce672cc99b9a1b8310c02218bd7f1511025af

Aliases

arxiv: 1305.0104 · arxiv_version: 1305.0104v1 · doi: 10.48550/arxiv.1305.0104 · pith_short_12: 2KQPKT3FYL2H · pith_short_16: 2KQPKT3FYL2HRG32 · pith_short_8: 2KQPKT3F

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/2KQPKT3FYL2HRG32L34POHHGOL \
  | 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: d2a0f54f65c2f4789b7a5ef8f71ce672cc99b9a1b8310c02218bd7f1511025af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "747776a7f940183c15be8b98d857817a94bcd39a0670dcd4c61ef8ee8c136fda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-01T06:33:21Z",
    "title_canon_sha256": "e7a3489df8e42b7ee78de3a9765e5af8715e3916ad31f375f33fa7ecca47b47d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0104",
    "kind": "arxiv",
    "version": 1
  }
}