Pith Number

pith:SEKXU6DB

pith:2015:SEKXU6DBGTCGFZZD66LYZO5EAB

not attested not anchored not stored refs pending

Weak approximation of martingale representations

Rama Cont, Yi Lu

arxiv:1501.00383 v4 · 2015-01-02 · 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{SEKXU6DBGTCGFZZD66LYZO5EAB}

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	2026-05-18T00:20:18.054723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91157a786134c462e723f7978cbba4006b506c5a76ca3489f00a646161819ee3

Aliases

arxiv: 1501.00383 · arxiv_version: 1501.00383v4 · doi: 10.48550/arxiv.1501.00383 · pith_short_12: SEKXU6DBGTCG · pith_short_16: SEKXU6DBGTCGFZZD · pith_short_8: SEKXU6DB

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/SEKXU6DBGTCGFZZD66LYZO5EAB \
  | 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: 91157a786134c462e723f7978cbba4006b506c5a76ca3489f00a646161819ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c60da4a5178864e7e9d086d27bb50434a51294628ed1bca98beececb9fcde4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-02T11:21:09Z",
    "title_canon_sha256": "3273b6ec2a5f0a54775182c10c4633056e0dfb4b7604dac978f97f9e49a4c7c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00383",
    "kind": "arxiv",
    "version": 4
  }
}