Pith Number

pith:VMGMVC3K

pith:2014:VMGMVC3KGMT46CMLIMEVEWVHSV

not attested not anchored not stored refs pending

On Zero-sum Optimal Stopping Games

Erhan Bayraktar, Zhou Zhou

arxiv:1408.3692 v3 · 2014-08-16 · math.PR · math.OC · q-fin.MF

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMGMVC3KGMT46CMLIMEVEWVHSV}

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	2026-05-18T00:47:53.669656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab0cca8b6a3327cf098b4309525aa79549dc3702d7409e491e22d3b180286332

Aliases

arxiv: 1408.3692 · arxiv_version: 1408.3692v3 · doi: 10.48550/arxiv.1408.3692 · pith_short_12: VMGMVC3KGMT4 · pith_short_16: VMGMVC3KGMT46CML · pith_short_8: VMGMVC3K

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/VMGMVC3KGMT46CMLIMEVEWVHSV \
  | 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: ab0cca8b6a3327cf098b4309525aa79549dc3702d7409e491e22d3b180286332

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cbe049ebf4817014053f3e826493aed819989542518960df9286f53eaeecc48",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-16T01:41:58Z",
    "title_canon_sha256": "d28084b4d6d6f1c5867aacfd2a30ae65239d49be3f4070a4908f9e57b679cf20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3692",
    "kind": "arxiv",
    "version": 3
  }
}