Pith Number

pith:GAFOI6HB

pith:2007:GAFOI6HBBQEJ3P77UNT4HYT6NR

not attested not anchored not stored refs pending

Skorohod-reflection of Brownian Paths and BES^3

Balint Toth, Balint Veto

arxiv:0711.0631 v1 · 2007-11-05 · 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{GAFOI6HBBQEJ3P77UNT4HYT6NR}

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	2026-05-17T23:45:57.159386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300ae478e10c089dbfffa367c3e27e6c4555cfbe1e84e32397de4aa5b523f88b

Aliases

arxiv: 0711.0631 · arxiv_version: 0711.0631v1 · doi: 10.48550/arxiv.0711.0631 · pith_short_12: GAFOI6HBBQEJ · pith_short_16: GAFOI6HBBQEJ3P77 · pith_short_8: GAFOI6HB

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/GAFOI6HBBQEJ3P77UNT4HYT6NR \
  | 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: 300ae478e10c089dbfffa367c3e27e6c4555cfbe1e84e32397de4aa5b523f88b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c5d09bbed40ff96fddc24171bc58f37619ee331863490505fb8aeb7a6e3e96",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-11-05T13:16:28Z",
    "title_canon_sha256": "142b7800e426c892cfcf0d369e310c6ae5b4af08710da86311edfdbc5f410071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0631",
    "kind": "arxiv",
    "version": 1
  }
}