Pith Number

pith:XGNNFESA

pith:2018:XGNNFESAPQQUITHTGACYNZ7OCJ

not attested not anchored not stored refs pending

Path-dependent Martingale Problems and Additive Functionals

Adrien Barrasso (X, ENSTA ParisTech), Francesco Russo (UMA), Univ. Paris-Saclay

arxiv:1804.09417 v1 · 2018-04-25 · 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{XGNNFESAPQQUITHTGACYNZ7OCJ}

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	2026-05-18T00:17:31.855726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b99ad292407c21444cf3300586e7ee126064808f2f87799174e2d31f5e8424ef

Aliases

arxiv: 1804.09417 · arxiv_version: 1804.09417v1 · doi: 10.48550/arxiv.1804.09417 · pith_short_12: XGNNFESAPQQU · pith_short_16: XGNNFESAPQQUITHT · pith_short_8: XGNNFESA

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/XGNNFESAPQQUITHTGACYNZ7OCJ \
  | 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: b99ad292407c21444cf3300586e7ee126064808f2f87799174e2d31f5e8424ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0c593170a8bf01f56defa57ac973abff3a1e469bf74c1c2385387c9cd64cf05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-25T08:20:18Z",
    "title_canon_sha256": "bc167644a6b11d91d89922cd06af46d7b7b5950c753449b479b3bde09b4772af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09417",
    "kind": "arxiv",
    "version": 1
  }
}