Pith Number

pith:YHZNTFEC

pith:2014:YHZNTFECCOJJRIB5DOGCUH5X5M

not attested not anchored not stored refs pending

Disconnection, random walks, and random interlacements

Alain-Sol Sznitman

arxiv:1412.3960 v2 · 2014-12-12 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHZNTFECCOJJRIB5DOGCUH5X5M}

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	2026-05-18T00:42:18.236131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1f2d99482139298a03d1b8c2a1fb7eb077f59c4b24d1ca5e4b3228ad55992f7

Aliases

arxiv: 1412.3960 · arxiv_version: 1412.3960v2 · doi: 10.48550/arxiv.1412.3960 · pith_short_12: YHZNTFECCOJJ · pith_short_16: YHZNTFECCOJJRIB5 · pith_short_8: YHZNTFEC

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/YHZNTFECCOJJRIB5DOGCUH5X5M \
  | 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: c1f2d99482139298a03d1b8c2a1fb7eb077f59c4b24d1ca5e4b3228ad55992f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a74c8716af60f21e499c683a1f599b5101ba56d8e943be3a80d7e04d5866e04",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-12T11:48:32Z",
    "title_canon_sha256": "8436c503113c0f5852cbbd0a249f3a8bc68ef734954da153e32e35a980d48fa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3960",
    "kind": "arxiv",
    "version": 2
  }
}