Pith Number

pith:B2E2Q7VF

pith:2008:B2E2Q7VFSLAS35HEWSEZLNEFHU

not attested not anchored not stored refs pending

Biased tug-of-war, the biased infinity Laplacian, and comparison with exponential cones

G\'abor Pete, Stephanie Somersille, Yuval Peres

arxiv:0811.0208 v3 · 2008-11-03 · math.AP · math.OC · 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{B2E2Q7VFSLAS35HEWSEZLNEFHU}

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	2026-05-18T04:34:55.570979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e89a87ea592c12df4e4b48995b4853d2146732862fd39ff2cdb586552b78d6a

Aliases

arxiv: 0811.0208 · arxiv_version: 0811.0208v3 · doi: 10.48550/arxiv.0811.0208 · pith_short_12: B2E2Q7VFSLAS · pith_short_16: B2E2Q7VFSLAS35HE · pith_short_8: B2E2Q7VF

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/B2E2Q7VFSLAS35HEWSEZLNEFHU \
  | 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: 0e89a87ea592c12df4e4b48995b4853d2146732862fd39ff2cdb586552b78d6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62cfc1d4b84e4ae715e28b3439788285dfe4b30ccdc9e5311278d4b0e04e679d",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-11-03T02:51:51Z",
    "title_canon_sha256": "0217a03e5b865ff65b708766b25bade4f66aca6e2449f804088fb4826060be61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0208",
    "kind": "arxiv",
    "version": 3
  }
}