Pith Number

pith:HIYXX3SB

pith:2016:HIYXX3SBA67ZHB6B233ELRG3JC

not attested not anchored not stored refs pending

Constructive martingale representation in functional It\^o calculus: a local martingale extension

Kristoffer Lindensj\"o

arxiv:1611.09214 v3 · 2016-11-28 · 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{HIYXX3SBA67ZHB6B233ELRG3JC}

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	2026-05-17T23:58:50.425745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a317bee4107bf9387c1d6f645c4db48aaa1a6eef6af9deedd7f525630a6d136

Aliases

arxiv: 1611.09214 · arxiv_version: 1611.09214v3 · doi: 10.48550/arxiv.1611.09214 · pith_short_12: HIYXX3SBA67Z · pith_short_16: HIYXX3SBA67ZHB6B · pith_short_8: HIYXX3SB

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/HIYXX3SBA67ZHB6B233ELRG3JC \
  | 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: 3a317bee4107bf9387c1d6f645c4db48aaa1a6eef6af9deedd7f525630a6d136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9086efd15a08528b2b1bb9f8db1155830f5213d7a80fabf1f53a753ba22713f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-28T16:09:38Z",
    "title_canon_sha256": "afce830b2c79a36abbd58e254aceae96bf54a142e16253dffa6652ccd3f693c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09214",
    "kind": "arxiv",
    "version": 3
  }
}