Pith Number

pith:TQ5ZXYKH

pith:2011:TQ5ZXYKH6RAMNJBFLS6EK4P6QY

not attested not anchored not stored refs pending

Cover times in the discrete cylinder

David Belius

arxiv:1103.2079 v1 · 2011-03-10 · 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{TQ5ZXYKH6RAMNJBFLS6EK4P6QY}

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	2026-05-18T04:27:03.025685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c3b9be147f440c6a4255cbc4571fe86051f331dcb38e0879ab9f7d3c1e82f44

Aliases

arxiv: 1103.2079 · arxiv_version: 1103.2079v1 · doi: 10.48550/arxiv.1103.2079 · pith_short_12: TQ5ZXYKH6RAM · pith_short_16: TQ5ZXYKH6RAMNJBF · pith_short_8: TQ5ZXYKH

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/TQ5ZXYKH6RAMNJBFLS6EK4P6QY \
  | 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: 9c3b9be147f440c6a4255cbc4571fe86051f331dcb38e0879ab9f7d3c1e82f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9149c0b747c62832f791fc666b61dc72e158270a4be819c15de059808474a42d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-10T16:56:35Z",
    "title_canon_sha256": "a5b0d82c69fd6cc06cfd9630373beac9b3f92f5b1a99b992a8daf05d1190adfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2079",
    "kind": "arxiv",
    "version": 1
  }
}