Pith Number

pith:VMIVRAMH

pith:2012:VMIVRAMH4I4S6CCJJIK4YATYJI

not attested not anchored not stored refs pending

On the easiest way to connect $k$ points in the Random Interlacements process

Hubert Lacoin, Johan Tykesson

arxiv:1206.4216 v3 · 2012-06-19 · 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{VMIVRAMH4I4S6CCJJIK4YATYJI}

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	2026-05-18T03:51:48.398727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab11588187e2392f08494a15cc02784a283c416f7d2e822204f8470a9ba8e589

Aliases

arxiv: 1206.4216 · arxiv_version: 1206.4216v3 · doi: 10.48550/arxiv.1206.4216 · pith_short_12: VMIVRAMH4I4S · pith_short_16: VMIVRAMH4I4S6CCJ · pith_short_8: VMIVRAMH

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/VMIVRAMH4I4S6CCJJIK4YATYJI \
  | 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: ab11588187e2392f08494a15cc02784a283c416f7d2e822204f8470a9ba8e589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3637d90d4594efedcfa88344228b100703bb95a008ef4d86c684fc24aa1c9db2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-19T14:14:25Z",
    "title_canon_sha256": "fa1f8e7cae69aca650dfaecbaa6de7c51002a2c4e4a685e0351bacb1a4751912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4216",
    "kind": "arxiv",
    "version": 3
  }
}