Pith Number

pith:D2EF7KXH

pith:2004:D2EF7KXHYW57YO54YMYSHS2ZJW

not attested not anchored not stored refs pending

Routing Complexity of Faulty Networks

Eran Ofek, Itai Benjamini, Omer Angel, Udi Wieder

arxiv:math/0407185 v1 · 2004-07-11 · math.PR · 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{D2EF7KXHYW57YO54YMYSHS2ZJW}

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	2026-07-04T14:38:54.646531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e885faae7c5bbfc3bbcc33123cb594d9f3abae4c36783b54eceb74af3bb1b58

Aliases

arxiv: math/0407185 · arxiv_version: math/0407185v1 · doi: 10.48550/arxiv.math/0407185 · pith_short_12: D2EF7KXHYW57 · pith_short_16: D2EF7KXHYW57YO54 · pith_short_8: D2EF7KXH

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/D2EF7KXHYW57YO54YMYSHS2ZJW \
  | 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: 1e885faae7c5bbfc3bbcc33123cb594d9f3abae4c36783b54eceb74af3bb1b58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f041b800db4a504940843d56f40c5bfe62c5eba6a8e5fc5a9c226f264b56edc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-07-11T09:21:48Z",
    "title_canon_sha256": "c9710fc5ea92b49cdfde8d2b615ea2649fbee8b6d72ef696e98726005f22e7bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407185",
    "kind": "arxiv",
    "version": 1
  }
}