Pith Number

pith:DTGAQ7J2

pith:2012:DTGAQ7J236DSCZXF5XAGNGZEKF

not attested not anchored not stored refs pending

Integral with respect to the $G$-Brownian local time

Bo Gao, Litan Yan, Xichao Sun

arxiv:1212.6353 v1 · 2012-12-27 · math.PR · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTGAQ7J236DSCZXF5XAGNGZEKF}

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	2026-05-18T03:37:40.029581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ccc087d3adf872166e5edc0669b245166543bb7ba780678c5283f61cacc5be7

Aliases

arxiv: 1212.6353 · arxiv_version: 1212.6353v1 · doi: 10.48550/arxiv.1212.6353 · pith_short_12: DTGAQ7J236DS · pith_short_16: DTGAQ7J236DSCZXF · pith_short_8: DTGAQ7J2

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/DTGAQ7J236DSCZXF5XAGNGZEKF \
  | 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: 1ccc087d3adf872166e5edc0669b245166543bb7ba780678c5283f61cacc5be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47f3e1efb7e4783fb7f939abcfed569fec1646d2e0d475e7d42858e8521559ac",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-27T11:43:13Z",
    "title_canon_sha256": "9abacaa9772316a6c301831205d62ab461d98be74de337e6f443092950fb986f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6353",
    "kind": "arxiv",
    "version": 1
  }
}