Pith Number

pith:TZP35IFZ

pith:2015:TZP35IFZQ2RTGR7DQZ5XYQ5TWF

not attested not anchored not stored refs pending

Discrete approximations to the double-obstacle prtoblem, and optimal stopping of tug-of-war games

Juan Manfredi, Luca Codenotti, Marta Lewicka

arxiv:1511.01604 v1 · 2015-11-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZP35IFZQ2RTGR7DQZ5XYQ5TWF}

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	2026-05-18T01:27:45.126551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5fbea0b986a33347e3867b7c43b3b159078320954e036e1c62c2b85eddbcbb

Aliases

arxiv: 1511.01604 · arxiv_version: 1511.01604v1 · doi: 10.48550/arxiv.1511.01604 · pith_short_12: TZP35IFZQ2RT · pith_short_16: TZP35IFZQ2RTGR7D · pith_short_8: TZP35IFZ

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/TZP35IFZQ2RTGR7DQZ5XYQ5TWF \
  | 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: 9e5fbea0b986a33347e3867b7c43b3b159078320954e036e1c62c2b85eddbcbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cd354c589886725fa0961887e9de2a8996d4a16981f886679c6f96f7b0621b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-05T04:10:11Z",
    "title_canon_sha256": "720d47515ea2b4c2209b57cc8eff82b0bc20160cf15b38e81d29c0f6688ab582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01604",
    "kind": "arxiv",
    "version": 1
  }
}