Pith Number

pith:3FEBHMFR

pith:2010:3FEBHMFRAHL7RDIU5EA7GE7BWC

not attested not anchored not stored refs pending

Brownian Motions on Metric Graphs I - Definition, Feller Property, and Generators

J\"urgen Potthoff, Robert Schrader, Vadim Kostrykin

arxiv:1012.0733 v2 · 2010-12-03 · 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{3FEBHMFRAHL7RDIU5EA7GE7BWC}

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	2026-05-18T04:34:08.539039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94813b0b101d7f88d14e901f313e1b0883c45f97c5c82975a54543b54a802a5

Aliases

arxiv: 1012.0733 · arxiv_version: 1012.0733v2 · doi: 10.48550/arxiv.1012.0733 · pith_short_12: 3FEBHMFRAHL7 · pith_short_16: 3FEBHMFRAHL7RDIU · pith_short_8: 3FEBHMFR

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/3FEBHMFRAHL7RDIU5EA7GE7BWC \
  | 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: d94813b0b101d7f88d14e901f313e1b0883c45f97c5c82975a54543b54a802a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f34e11bc1a34e450b4010425819df0dd7092eace4fccdb323af55517ed30ccc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-03T13:27:44Z",
    "title_canon_sha256": "5a49f341ddd0d1f001543bc24671e6bab8edfb50f33ec56d7cee3ca8c6693512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0733",
    "kind": "arxiv",
    "version": 2
  }
}