Pith Number

pith:QATRQU3E

pith:2012:QATRQU3EWZX4734SQ72SQX2CKO

not attested not anchored not stored refs pending

Random walks in dynamic random environments: A transference principle

Florian V\"ollering, Frank Redig

arxiv:1211.0830 v2 · 2012-11-05 · 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{QATRQU3EWZX4734SQ72SQX2CKO}

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	2026-05-18T03:11:33.469372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8027185364b66fcfef9287f5285f425384c000ba374fe95f8f745f839370403f

Aliases

arxiv: 1211.0830 · arxiv_version: 1211.0830v2 · doi: 10.48550/arxiv.1211.0830 · pith_short_12: QATRQU3EWZX4 · pith_short_16: QATRQU3EWZX4734S · pith_short_8: QATRQU3E

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/QATRQU3EWZX4734SQ72SQX2CKO \
  | 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: 8027185364b66fcfef9287f5285f425384c000ba374fe95f8f745f839370403f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "203c39dd2fd4a7d210fc270940a57f9fd94354ef3b0f9b6477e6f612f0d5d0fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-05T11:17:36Z",
    "title_canon_sha256": "16eff398a82277870b1213709c82f2135e9c64afd5a0425ca02ebf374f3a70d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0830",
    "kind": "arxiv",
    "version": 2
  }
}