Pith Number

pith:6EFSUCPU

pith:2009:6EFSUCPUWMFZEXUKBNSEB66IR3

not attested not anchored not stored refs pending

Load optimization in a planar network

Charles Bordenave (IMT), Giovanni Luca Torrisi (IAC)

arxiv:0902.4304 v2 · 2009-02-25 · 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{6EFSUCPUWMFZEXUKBNSEB66IR3}

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	2026-05-18T04:32:54.639085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f10b2a09f4b30b925e8a0b6440fbc88efa36cd1232bb8e78d100376d84e05ce3

Aliases

arxiv: 0902.4304 · arxiv_version: 0902.4304v2 · doi: 10.48550/arxiv.0902.4304 · pith_short_12: 6EFSUCPUWMFZ · pith_short_16: 6EFSUCPUWMFZEXUK · pith_short_8: 6EFSUCPU

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/6EFSUCPUWMFZEXUKBNSEB66IR3 \
  | 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: f10b2a09f4b30b925e8a0b6440fbc88efa36cd1232bb8e78d100376d84e05ce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cc1fbb67053e5ecfaadfe207cb089de40009828a9f56c670e2e4b82e60d54f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-02-25T08:04:00Z",
    "title_canon_sha256": "ab31e73b2f41c4449facfda489f1bbdc2a3a89809895eebfa16078d1fc461693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4304",
    "kind": "arxiv",
    "version": 2
  }
}