Pith Number

pith:JOQUSHS2

pith:2012:JOQUSHS2P7ZOX5JFKS7URDANFT

not attested not anchored not stored refs pending

Cutoff and mixing time for transient random walks in random environments

Nina Gantert, Thomas Kochler

arxiv:1210.2177 v2 · 2012-10-08 · 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{JOQUSHS2P7ZOX5JFKS7URDANFT}

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	2026-05-18T03:25:34.958082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ba1491e5a7ff2ebf52554bf488c0d2ccd72c09a7379feab85ec2a277d295fc2

Aliases

arxiv: 1210.2177 · arxiv_version: 1210.2177v2 · doi: 10.48550/arxiv.1210.2177 · pith_short_12: JOQUSHS2P7ZO · pith_short_16: JOQUSHS2P7ZOX5JF · pith_short_8: JOQUSHS2

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/JOQUSHS2P7ZOX5JFKS7URDANFT \
  | 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: 4ba1491e5a7ff2ebf52554bf488c0d2ccd72c09a7379feab85ec2a277d295fc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12f49b72cd0c0781c8035282be23b3fbb1f921422cf46f8de71a884527dce752",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-08T07:57:57Z",
    "title_canon_sha256": "f342cbce9de20041597f601e41042319f594bbdef2f0e9f1d251e21aa696ebdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2177",
    "kind": "arxiv",
    "version": 2
  }
}