Pith Number

pith:VUJJ4VMN

pith:2014:VUJJ4VMNZ6VT5WQHWREAWEDNX2

not attested not anchored not stored refs pending

Characterization of max-continuous local martingales vanishing at infinity

Beatrice Acciaio, Irina Penner

arxiv:1412.1366 v3 · 2014-12-03 · 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{VUJJ4VMNZ6VT5WQHWREAWEDNX2}

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	2026-05-18T01:03:37.020793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad129e558dcfab3eda07b4480b106dbe87b3fc3264e4b204adf1eb0790fe215d

Aliases

arxiv: 1412.1366 · arxiv_version: 1412.1366v3 · doi: 10.48550/arxiv.1412.1366 · pith_short_12: VUJJ4VMNZ6VT · pith_short_16: VUJJ4VMNZ6VT5WQH · pith_short_8: VUJJ4VMN

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/VUJJ4VMNZ6VT5WQHWREAWEDNX2 \
  | 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: ad129e558dcfab3eda07b4480b106dbe87b3fc3264e4b204adf1eb0790fe215d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e14c84e474a0d7ddb15efb168aeefc25bd3b42f89b3c97a4e1670a6d552c39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-03T15:34:06Z",
    "title_canon_sha256": "1479555e37cf7f72f2d0eca813d7ecb9dd0457bd9dc675f647c550d0cebbb380"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1366",
    "kind": "arxiv",
    "version": 3
  }
}