Pith Number

pith:CHP7IIM7

pith:2011:CHP7IIM7DG22NV4ADHBCO3SODN

not attested not anchored not stored refs pending

Computing hitting times via fluid approximation: application to the coupon collector problem

Nicolas Gast

arxiv:1107.3385 v1 · 2011-07-18 · math.PR · cs.DM · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHP7IIM7DG22NV4ADHBCO3SODN}

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	2026-05-18T04:18:03.193941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11dff4219f19b5a6d78019c2276e4e1b67831fbba70c84f0707ed585d5e143f0

Aliases

arxiv: 1107.3385 · arxiv_version: 1107.3385v1 · doi: 10.48550/arxiv.1107.3385 · pith_short_12: CHP7IIM7DG22 · pith_short_16: CHP7IIM7DG22NV4A · pith_short_8: CHP7IIM7

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/CHP7IIM7DG22NV4ADHBCO3SODN \
  | 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: 11dff4219f19b5a6d78019c2276e4e1b67831fbba70c84f0707ed585d5e143f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9559cc55954b6565113b820b19349267335ec3ed2037fff2c3289ae90a26cec",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-18T09:36:27Z",
    "title_canon_sha256": "bf3f58d3aeb39e93d8215f2d1956a902ca96002a885705165106d323ee32ecf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3385",
    "kind": "arxiv",
    "version": 1
  }
}