Pith Number

pith:HXYTGIYU

pith:2013:HXYTGIYU4WUQTBR2BHN77U2EVB

not attested not anchored not stored refs pending

Transience of the vacant set for near-critical random interlacements in high dimensions

Alexander Drewitz, Dirk Erhard

arxiv:1312.2980 v1 · 2013-12-10 · 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{HXYTGIYU4WUQTBR2BHN77U2EVB}

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	2026-05-18T03:05:00.854880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3df1332314e5a909863a09dbffd344a87712fe4f7b4ef1e946e0e2730dc87d76

Aliases

arxiv: 1312.2980 · arxiv_version: 1312.2980v1 · doi: 10.48550/arxiv.1312.2980 · pith_short_12: HXYTGIYU4WUQ · pith_short_16: HXYTGIYU4WUQTBR2 · pith_short_8: HXYTGIYU

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/HXYTGIYU4WUQTBR2BHN77U2EVB \
  | 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: 3df1332314e5a909863a09dbffd344a87712fe4f7b4ef1e946e0e2730dc87d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "889b04ce72ca0173d2baae0cc56de977f1b2fe866dbc206ba12d09e1b62ba3e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-10T22:09:54Z",
    "title_canon_sha256": "4f06ce32e978dab4fb578c53edc1b801623452799d9acfc7b454c6ad15cf0dfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2980",
    "kind": "arxiv",
    "version": 1
  }
}