Pith Number

pith:3PTCHIDW

pith:2018:3PTCHIDWBAFDXHQANRZR5IF6G2

not attested not anchored not stored refs pending

Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities

\'Angel Arroyo, Eero Ruosteenoja, Hannes Luiro, Mikko Parviainen

arxiv:1806.10838 v1 · 2018-06-28 · 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{3PTCHIDWBAFDXHQANRZR5IF6G2}

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	2026-05-18T00:12:07.784740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe623a076080a3b9e006c731ea0be3682a8f04408f8f1b07bbe5352591b57b9

Aliases

arxiv: 1806.10838 · arxiv_version: 1806.10838v1 · doi: 10.48550/arxiv.1806.10838 · pith_short_12: 3PTCHIDWBAFD · pith_short_16: 3PTCHIDWBAFDXHQA · pith_short_8: 3PTCHIDW

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/3PTCHIDWBAFDXHQANRZR5IF6G2 \
  | 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: dbe623a076080a3b9e006c731ea0be3682a8f04408f8f1b07bbe5352591b57b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2864c88553b596fb26d0ecc7933d218a78942539a39f0325f27bc623c6dcb87b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-28T09:19:08Z",
    "title_canon_sha256": "8a71e489d6925c4df9e7cf4f98f90157f4f6467849e168b435df75c75738d17e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10838",
    "kind": "arxiv",
    "version": 1
  }
}