Pith Number

pith:5JSTGZJC

pith:2019:5JSTGZJCDSDFDH5Z22ZWBEEW4Z

not attested not anchored not stored refs pending

Strict Local Martingales and the Khasminskii test for Explosions

Aditi Dandapani, Philip Protter

arxiv:1903.02383 v1 · 2019-03-06 · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JSTGZJCDSDFDH5Z22ZWBEEW4Z}

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	2026-05-17T23:51:55.439085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea653365221c86519fb9d6b3609096e665fc24d2c8cf016178ca6eb431f16e57

Aliases

arxiv: 1903.02383 · arxiv_version: 1903.02383v1 · doi: 10.48550/arxiv.1903.02383 · pith_short_12: 5JSTGZJCDSDF · pith_short_16: 5JSTGZJCDSDFDH5Z · pith_short_8: 5JSTGZJC

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/5JSTGZJCDSDFDH5Z22ZWBEEW4Z \
  | 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: ea653365221c86519fb9d6b3609096e665fc24d2c8cf016178ca6eb431f16e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1bf7269eb6d0f92ede19c54628e3846e0816c3a485ff362138932abdf5ab40d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2019-03-06T13:56:56Z",
    "title_canon_sha256": "70fcb4531f5f9949d68d07003e857047b6e62f30c04c1ef4eae279b46a14aa57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02383",
    "kind": "arxiv",
    "version": 1
  }
}