Pith Number

pith:I6RUMWFJ

pith:2011:I6RUMWFJTUYPZNZISCBGJPQ5N4

not attested not anchored not stored refs pending

Brownian Motions on Metric Graphs

J\"urgen Potthoff, Robert Schrader, Vadim Kostrykin

arxiv:1102.4937 v3 · 2011-02-24 · 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{I6RUMWFJTUYPZNZISCBGJPQ5N4}

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	2026-05-18T02:03:05.577575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47a34658a99d30fcb728908264be1d6f21a554d7965c49bbc1dddcfce9f545af

Aliases

arxiv: 1102.4937 · arxiv_version: 1102.4937v3 · doi: 10.48550/arxiv.1102.4937 · pith_short_12: I6RUMWFJTUYP · pith_short_16: I6RUMWFJTUYPZNZI · pith_short_8: I6RUMWFJ

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/I6RUMWFJTUYPZNZISCBGJPQ5N4 \
  | 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: 47a34658a99d30fcb728908264be1d6f21a554d7965c49bbc1dddcfce9f545af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "896c9f4bafe98dbd897cda747e2a174ab1a72b488aabc65cc90aaeca7551377d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-24T09:25:23Z",
    "title_canon_sha256": "82aaefa27a3616c93611b4176c299b3f2274d4634b75a29cf38261938dc91275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4937",
    "kind": "arxiv",
    "version": 3
  }
}