Pith Number

pith:JCXPHQUC

pith:2010:JCXPHQUC7UUKMX2KSZXLH54CHK

not attested not anchored not stored refs pending

Brownian Motions on Metric Graphs: Feller Brownian Motions on Intervals Revisited

Jurgen Potthoff, Robert Schrader, Vadim Kostrykin

arxiv:1008.3761 v2 · 2010-08-23 · 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{JCXPHQUC7UUKMX2KSZXLH54CHK}

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	2026-05-18T04:34:08.725541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48aef3c282fd28a65f4a966eb3f7823a8dc558499f2c9690298370e78dbd8b0b

Aliases

arxiv: 1008.3761 · arxiv_version: 1008.3761v2 · doi: 10.48550/arxiv.1008.3761 · pith_short_12: JCXPHQUC7UUK · pith_short_16: JCXPHQUC7UUKMX2K · pith_short_8: JCXPHQUC

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/JCXPHQUC7UUKMX2KSZXLH54CHK \
  | 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: 48aef3c282fd28a65f4a966eb3f7823a8dc558499f2c9690298370e78dbd8b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19f478e159329b7a8920f816841752041c9d5618dcff34d79c3a0d5a25cb9c92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-23T07:22:19Z",
    "title_canon_sha256": "dc5b9e317ae8dc5fb074b663e678c3dd1c4fffa0618e715b157a255b7a436a4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3761",
    "kind": "arxiv",
    "version": 2
  }
}