Pith Number

pith:FMWUPMAD

pith:2015:FMWUPMADY7EVGIJNBQUVWKGERR

not attested not anchored not stored refs pending

Single Jump Processes and Strict Local Martingales

Martin Herdegen, Sebastian Herrmann

arxiv:1510.03192 v1 · 2015-10-12 · 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{FMWUPMADY7EVGIJNBQUVWKGERR}

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	2026-05-18T01:30:32.505622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b2d47b003c7c953212d0c295b28c48c4a052738a0341bcc68bb994580dc7a15

Aliases

arxiv: 1510.03192 · arxiv_version: 1510.03192v1 · doi: 10.48550/arxiv.1510.03192 · pith_short_12: FMWUPMADY7EV · pith_short_16: FMWUPMADY7EVGIJN · pith_short_8: FMWUPMAD

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/FMWUPMADY7EVGIJNBQUVWKGERR \
  | 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: 2b2d47b003c7c953212d0c295b28c48c4a052738a0341bcc68bb994580dc7a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b2e472d5e6668ca61179702d5132e80a08e1e7a943fd1156d7b65cd906206a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-12T09:18:42Z",
    "title_canon_sha256": "2e4fe387f56bbfc5d2f960ec0416fdec8448648400ec64f05608c57bad3b6d55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03192",
    "kind": "arxiv",
    "version": 1
  }
}