Pith Number

pith:CLNDG5OF

pith:2010:CLNDG5OFS5Z67DMJIGIEV665BE

not attested not anchored not stored refs pending

Constant approximation algorithms for embedding graph metrics into trees and outerplanar graphs

Feodor Dragan, Ilan Newman, Victor Chepoi, Yann Vaxes, Yuri Rabinovich

arxiv:1007.0489 v1 · 2010-07-03 · math.MG · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLNDG5OFS5Z67DMJIGIEV665BE}

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	2026-05-18T02:23:48.282266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12da3375c59773ef8d8941904afbdd09379529bdd5ec4cdc11f328acfeeaed11

Aliases

arxiv: 1007.0489 · arxiv_version: 1007.0489v1 · doi: 10.48550/arxiv.1007.0489 · pith_short_12: CLNDG5OFS5Z6 · pith_short_16: CLNDG5OFS5Z67DMJ · pith_short_8: CLNDG5OF

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/CLNDG5OFS5Z67DMJIGIEV665BE \
  | 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: 12da3375c59773ef8d8941904afbdd09379529bdd5ec4cdc11f328acfeeaed11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1bccb45ec364513575275deb2ea6d1e95a2c7f4a82598be6b3ec7f05caa665c",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-07-03T10:20:24Z",
    "title_canon_sha256": "1e17d187e2ea80a99a083e1a20adee348763959389eac5ded8dd532f0b01832f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0489",
    "kind": "arxiv",
    "version": 1
  }
}