Pith Number

pith:ZEOGZC6O

pith:2014:ZEOGZC6OXLBPJ3HNUJG53KZ7KW

not attested not anchored not stored refs pending

On joint distributions of the maximum, minimum and terminal value of a continuous uniformly integrable martingale

Alexander M. G. Cox, Jan Ob\l\'oj

arxiv:1406.0885 v2 · 2014-06-03 · 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{ZEOGZC6OXLBPJ3HNUJG53KZ7KW}

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	2026-05-18T02:20:10.424405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91c6c8bcebac2f4eceda24dddab3f55ad97c8010cff23146663ecaad4c6c41c

Aliases

arxiv: 1406.0885 · arxiv_version: 1406.0885v2 · doi: 10.48550/arxiv.1406.0885 · pith_short_12: ZEOGZC6OXLBP · pith_short_16: ZEOGZC6OXLBPJ3HN · pith_short_8: ZEOGZC6O

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/ZEOGZC6OXLBPJ3HNUJG53KZ7KW \
  | 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: c91c6c8bcebac2f4eceda24dddab3f55ad97c8010cff23146663ecaad4c6c41c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40704b382073207ad3648c31bb36926323f64ab2bd386ffef28c1aace356e282",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-03T21:43:43Z",
    "title_canon_sha256": "e0aceada8c6c333d078dbe95dca933c21ad118188bb1bbcb311d96afdf2cbba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0885",
    "kind": "arxiv",
    "version": 2
  }
}