Pith Number

pith:3XH6YPVF

pith:2011:3XH6YPVFJNTKNPA3RXMEMQWEGV

not attested not anchored not stored refs pending

Cover levels and random interlacements

David Belius

arxiv:1103.2072 v2 · 2011-03-10 · 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{3XH6YPVFJNTKNPA3RXMEMQWEGV}

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	2026-05-18T03:50:22.111787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddcfec3ea54b66a6bc1b8dd84642c43549785c324de3793a8d517c0792e08662

Aliases

arxiv: 1103.2072 · arxiv_version: 1103.2072v2 · doi: 10.48550/arxiv.1103.2072 · pith_short_12: 3XH6YPVFJNTK · pith_short_16: 3XH6YPVFJNTKNPA3 · pith_short_8: 3XH6YPVF

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/3XH6YPVFJNTKNPA3RXMEMQWEGV \
  | 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: ddcfec3ea54b66a6bc1b8dd84642c43549785c324de3793a8d517c0792e08662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2203f8d5a61f749b965a7b5eba369a2330eff307ae07180f56f709ec5dec32f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-10T16:33:22Z",
    "title_canon_sha256": "7b74976a7db8d82ae6f88f1b7e90e4ce1d1928905bc6cb3ad4c421b2c9337506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2072",
    "kind": "arxiv",
    "version": 2
  }
}