Pith Number

pith:N4FN62UG

pith:2013:N4FN62UG5OIBXF57JH3KEKACY4

not attested not anchored not stored refs pending

On Spectral Properties of Finite Population Processor Shared Queues

Charles Knessl, Qiang Zhen

arxiv:1309.2701 v1 · 2013-09-11 · 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{N4FN62UG5OIBXF57JH3KEKACY4}

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	2026-05-18T03:13:35.142701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f0adf6a86eb901b97bf49f6a22802c73e7cdee2afcbc4f4d1a4f382b2e1d37c

Aliases

arxiv: 1309.2701 · arxiv_version: 1309.2701v1 · doi: 10.48550/arxiv.1309.2701 · pith_short_12: N4FN62UG5OIB · pith_short_16: N4FN62UG5OIBXF57 · pith_short_8: N4FN62UG

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/N4FN62UG5OIBXF57JH3KEKACY4 \
  | 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: 6f0adf6a86eb901b97bf49f6a22802c73e7cdee2afcbc4f4d1a4f382b2e1d37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "272ef1b534644c696fe718b5a3229907d3e7bb8aa9c2ad13a5059704676e4f34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-11T00:32:26Z",
    "title_canon_sha256": "bdaa11bbd14746dce49a2b27bf723f2e0cd964dee8a68c8cd05ab38f07d1d444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2701",
    "kind": "arxiv",
    "version": 1
  }
}