Pith Number

pith:WIIWS6IV

pith:2026:WIIWS6IVEOIKMEOBEP7VV7NO6Q

not attested not anchored not stored refs pending

Optional Stopping for Superhedging Supermartingales

Christian Bender, Sebastian E. Ferrando

arxiv:2606.17452 v1 · 2026-06-16 · 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{WIIWS6IVEOIKMEOBEP7VV7NO6Q}

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	2026-06-19T16:10:13.418086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2116979152390a611c123ff5afdaef4125464496cc7a09215c7ee99e10d354c

Aliases

arxiv: 2606.17452 · arxiv_version: 2606.17452v1 · doi: 10.48550/arxiv.2606.17452 · pith_short_12: WIIWS6IVEOIK · pith_short_16: WIIWS6IVEOIKMEOB · pith_short_8: WIIWS6IV

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/WIIWS6IVEOIKMEOBEP7VV7NO6Q \
  | 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: b2116979152390a611c123ff5afdaef4125464496cc7a09215c7ee99e10d354c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a66fd9e09ddf891d23458a4d7d7d0f83c2b42ff6fd994f223e1bbf736ba308",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-16T03:11:21Z",
    "title_canon_sha256": "de4d87ee562d84679c8db08ba7eec680e820377d1e7055b2cc4175f5132d2131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17452",
    "kind": "arxiv",
    "version": 1
  }
}