Pith Number

pith:7WPWRJ2U

pith:2012:7WPWRJ2U2HFNHPW6NPEWBN2445

not attested not anchored not stored refs pending

Extremal geometry of a Brownian porous medium

Frank den Hollander, Jesse Goodman

arxiv:1211.3630 v2 · 2012-11-15 · 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{7WPWRJ2U2HFNHPW6NPEWBN2445}

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	2026-05-18T03:14:28.075157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9f68a754d1cad3bede6bc960b75ce7774e05e2721d7133e16d77da4b443f5a

Aliases

arxiv: 1211.3630 · arxiv_version: 1211.3630v2 · doi: 10.48550/arxiv.1211.3630 · pith_short_12: 7WPWRJ2U2HFN · pith_short_16: 7WPWRJ2U2HFNHPW6 · pith_short_8: 7WPWRJ2U

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/7WPWRJ2U2HFNHPW6NPEWBN2445 \
  | 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: fd9f68a754d1cad3bede6bc960b75ce7774e05e2721d7133e16d77da4b443f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787dc7c7e3800815fb215730e5dae7fba53234d7e4a3da75f8da403ef435ff42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-15T15:45:44Z",
    "title_canon_sha256": "207ae4962eb699626d92878b54ddce06fce20cf3145ddf8780ff925679abccb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3630",
    "kind": "arxiv",
    "version": 2
  }
}