Pith Number

pith:F34ZLCLZ

pith:2012:F34ZLCLZ64OD7KMNOIZM6TUEKS

not attested not anchored not stored refs pending

Achievable Performance in Product-Form Networks

Jaron Sanders, Johan S.H. van Leeuwaarden, Sem C. Borst

arxiv:1211.1139 v1 · 2012-11-06 · math.OC · 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{F34ZLCLZ64OD7KMNOIZM6TUEKS}

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	2026-05-18T03:41:22.230384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef9958979f71c3fa98d7232cf4e8454a3116940beff92d64ad6b7833390c489

Aliases

arxiv: 1211.1139 · arxiv_version: 1211.1139v1 · doi: 10.48550/arxiv.1211.1139 · pith_short_12: F34ZLCLZ64OD · pith_short_16: F34ZLCLZ64OD7KMN · pith_short_8: F34ZLCLZ

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/F34ZLCLZ64OD7KMNOIZM6TUEKS \
  | 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: 2ef9958979f71c3fa98d7232cf4e8454a3116940beff92d64ad6b7833390c489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6018413a187a1ec69e7f7f49a368b9738c5d9a5e945cdd90ec5f3cdb358c770b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-11-06T08:30:59Z",
    "title_canon_sha256": "91789f238408d9dd488f9eeac777a04495712a9e737130a4527cb1c8f93678cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1139",
    "kind": "arxiv",
    "version": 1
  }
}