Pith Number

pith:DOGNIEYF

pith:2012:DOGNIEYFCSTU2KBXEWBG4BXZTE

not attested not anchored not stored refs pending

On the Tanaka formula for the derivative of self-intersection local time of fBm

Greg Markowsky, Paul Jung

arxiv:1205.5551 v2 · 2012-05-23 · 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{DOGNIEYFCSTU2KBXEWBG4BXZTE}

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	2026-05-18T02:48:53.343819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b8cd4130514a74d283725826e06f9993724869963c496575049565301a7dce0

Aliases

arxiv: 1205.5551 · arxiv_version: 1205.5551v2 · doi: 10.48550/arxiv.1205.5551 · pith_short_12: DOGNIEYFCSTU · pith_short_16: DOGNIEYFCSTU2KBX · pith_short_8: DOGNIEYF

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/DOGNIEYFCSTU2KBXEWBG4BXZTE \
  | 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: 1b8cd4130514a74d283725826e06f9993724869963c496575049565301a7dce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b29e3355e1126df6f7865406382c73bbc7106bd12ce62fc00336adfc946ef751",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-23T21:06:52Z",
    "title_canon_sha256": "a55d695b8eee64194bac12aa3c784f7228ba00a5a1748d63f83b08fddca84c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5551",
    "kind": "arxiv",
    "version": 2
  }
}