Pith Number

pith:SR74K3PW

pith:2013:SR74K3PWDL4HJVD53H7NIPDHPE

not attested not anchored not stored refs pending

Strict Local Martingales with Jumps

Philip Protter

arxiv:1307.2436 v3 · 2013-07-09 · math.PR · q-fin.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{SR74K3PWDL4HJVD53H7NIPDHPE}

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	2026-05-18T02:55:39.116878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

947fc56df61af874d47dd9fed43c677927e0a9745a883a7b515c35f9eb1e2424

Aliases

arxiv: 1307.2436 · arxiv_version: 1307.2436v3 · doi: 10.48550/arxiv.1307.2436 · pith_short_12: SR74K3PWDL4H · pith_short_16: SR74K3PWDL4HJVD5 · pith_short_8: SR74K3PW

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/SR74K3PWDL4HJVD53H7NIPDHPE \
  | 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: 947fc56df61af874d47dd9fed43c677927e0a9745a883a7b515c35f9eb1e2424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52266bd81a2db8046be42c7259c0fe634f4c71a4505a5febe627e60daa6d37af",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-09T13:08:09Z",
    "title_canon_sha256": "f96adb6fd122bf953afbaa837b6376ced3ebb1c2e9f6e91d8816ce9bceec7def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2436",
    "kind": "arxiv",
    "version": 3
  }
}