Pith Number

pith:2IHRC4K4

pith:2011:2IHRC4K4BEL4QNBZKWEWYPTDNP

not attested not anchored not stored refs pending

Busy period, time of the first loss of a customer and the number of customers in $ M^{\varkappa}|G^{\delta}|1|B$

Noel Veraverbeke, Tetyana Kadankova, Victor Kadankov

arxiv:1103.4064 v1 · 2011-03-21 · 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{2IHRC4K4BEL4QNBZKWEWYPTDNP}

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	2026-05-18T04:26:21.889900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d20f11715c0917c8343955896c3e636bceaac5355ef3edb0c3eacefb1e493edd

Aliases

arxiv: 1103.4064 · arxiv_version: 1103.4064v1 · doi: 10.48550/arxiv.1103.4064 · pith_short_12: 2IHRC4K4BEL4 · pith_short_16: 2IHRC4K4BEL4QNBZ · pith_short_8: 2IHRC4K4

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/2IHRC4K4BEL4QNBZKWEWYPTDNP \
  | 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: d20f11715c0917c8343955896c3e636bceaac5355ef3edb0c3eacefb1e493edd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8faf8eb8c25d7032a07b304872a6c727164c55178234a05036496c060bad9c92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-21T16:07:54Z",
    "title_canon_sha256": "d17d0afa39797a08f7e5dfb2e23e1e60acf5360a66b249327b67030fa3ad35d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4064",
    "kind": "arxiv",
    "version": 1
  }
}