Pith Number

pith:76PMSRBF

pith:2007:76PMSRBFHB4SIIWDF3Q6PA536Z

not attested not anchored not stored refs pending

On the paper ``Weak convergence of some classes of martingales with jumps''

Yoichi Nishiyama

arxiv:0707.4536 v1 · 2007-07-31 · 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{76PMSRBFHB4SIIWDF3Q6PA536Z}

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	2026-05-18T04:09:15.318370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff9ec9442538792422c32ee1e783bbf676139756e4dacf05887c3c44bf117ae7

Aliases

arxiv: 0707.4536 · arxiv_version: 0707.4536v1 · doi: 10.48550/arxiv.0707.4536 · pith_short_12: 76PMSRBFHB4S · pith_short_16: 76PMSRBFHB4SIIWD · pith_short_8: 76PMSRBF

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/76PMSRBFHB4SIIWDF3Q6PA536Z \
  | 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: ff9ec9442538792422c32ee1e783bbf676139756e4dacf05887c3c44bf117ae7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f651e459abf5f815d27ea001cbc221050bdff046665412427f90ee94f3d37e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-07-31T05:39:04Z",
    "title_canon_sha256": "e23d6aa5dbea7de5428c6c2c66d598ddddbfa97d1f9335f21482c5f70c649e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4536",
    "kind": "arxiv",
    "version": 1
  }
}