Pith Number

pith:4R44OVBR

pith:2010:4R44OVBRJB55RJJF5TQ65PP5IQ

not attested not anchored not stored refs pending

Brownian Motions on Metric Graphs III - Construction: General Metric Graphs

J\"urgen Potthoff, Robert Schrader, Vadim Kostrykin

arxiv:1012.0739 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{4R44OVBRJB55RJJF5TQ65PP5IQ}

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	2026-05-18T04:34:08.524888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e479c75431487bd8a525ece1eebdfd440d497f3e2d0cff500ae8bf7d7aeb4e3c

Aliases

arxiv: 1012.0739 · arxiv_version: 1012.0739v2 · doi: 10.48550/arxiv.1012.0739 · pith_short_12: 4R44OVBRJB55 · pith_short_16: 4R44OVBRJB55RJJF · pith_short_8: 4R44OVBR

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/4R44OVBRJB55RJJF5TQ65PP5IQ \
  | 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: e479c75431487bd8a525ece1eebdfd440d497f3e2d0cff500ae8bf7d7aeb4e3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e192393d0dba7c7a486f361a6b8820b1c359ac2a0258273ada8f38ef218735f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-03T13:39:45Z",
    "title_canon_sha256": "d106916ec9677d6144f7edda9fe89d5dd75d2a18a9946ed743701df4d551d64e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0739",
    "kind": "arxiv",
    "version": 2
  }
}