Pith Number

pith:ZLHQLAVI

pith:2010:ZLHQLAVIRLT5OOCRD2X5UZCMG3

not attested not anchored not stored refs pending

Loop-Erasure of Plane Brownian Motion

Dapeng Zhan

arxiv:1001.3189 v1 · 2010-01-19 · 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{ZLHQLAVIRLT5OOCRD2X5UZCMG3}

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	2026-05-18T02:09:42.697961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cacf0582a88ae7d738511eafda644c36dce6f3006235625ecc89dedb1d5718d2

Aliases

arxiv: 1001.3189 · arxiv_version: 1001.3189v1 · doi: 10.48550/arxiv.1001.3189 · pith_short_12: ZLHQLAVIRLT5 · pith_short_16: ZLHQLAVIRLT5OOCR · pith_short_8: ZLHQLAVI

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/ZLHQLAVIRLT5OOCRD2X5UZCMG3 \
  | 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: cacf0582a88ae7d738511eafda644c36dce6f3006235625ecc89dedb1d5718d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "709547c1f716dfb15a27a244067b8e7363553bb65945bafbbcb0d94893a22f62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-19T03:29:14Z",
    "title_canon_sha256": "4a4d685dbdbbcbe48a40807be2cfea9e896294434ff04d56e57029f82518ddf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3189",
    "kind": "arxiv",
    "version": 1
  }
}