Pith Number

pith:QZ2ZCBRR

pith:2016:QZ2ZCBRR3MRGUTWOODE3QJQ5SX

not attested not anchored not stored refs pending

Tug-of-war games with varying probabilities and the normalized $p(x)$-Laplacian

\'Angel Arroyo, Joonas Heino, Mikko Parviainen

arxiv:1608.03701 v2 · 2016-08-12 · 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{QZ2ZCBRR3MRGUTWOODE3QJQ5SX}

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	2026-05-18T00:10:24.659654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8675910631db226a4ece70c9b8261d95faf89ebd6f7f217fbcfa2820ebf5b50e

Aliases

arxiv: 1608.03701 · arxiv_version: 1608.03701v2 · doi: 10.48550/arxiv.1608.03701 · pith_short_12: QZ2ZCBRR3MRG · pith_short_16: QZ2ZCBRR3MRGUTWO · pith_short_8: QZ2ZCBRR

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/QZ2ZCBRR3MRGUTWOODE3QJQ5SX \
  | 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: 8675910631db226a4ece70c9b8261d95faf89ebd6f7f217fbcfa2820ebf5b50e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e777eab6994358715ea33121381c89b9176d55b020bacf7df72df464658a36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-12T07:51:40Z",
    "title_canon_sha256": "416ddc08416df31f679881e61504d29caa17bc8811fe9fb7a882bcf91d2dfee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03701",
    "kind": "arxiv",
    "version": 2
  }
}