Pith Number

pith:3WRPMKYF

pith:2011:3WRPMKYFLOCZGWCYKXZROPKPD6

not attested not anchored not stored refs pending

Robust Line Planning in case of Multiple Pools and Disruptions

Apostolos Bessas, Christos Zaroliagis, Spyros Kontogiannis

arxiv:1101.2770 v1 · 2011-01-14 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WRPMKYFLOCZGWCYKXZROPKPD6}

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	2026-05-18T02:03:40.031994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda2f62b055b8593585855f3173d4f1f8149051aecaf82e8da2bcf9eddc31d41

Aliases

arxiv: 1101.2770 · arxiv_version: 1101.2770v1 · doi: 10.48550/arxiv.1101.2770 · pith_short_12: 3WRPMKYFLOCZ · pith_short_16: 3WRPMKYFLOCZGWCY · pith_short_8: 3WRPMKYF

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/3WRPMKYFLOCZGWCYKXZROPKPD6 \
  | 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: dda2f62b055b8593585855f3173d4f1f8149051aecaf82e8da2bcf9eddc31d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c162ed76f642d390066169a5478e50dd4e433dd9256c876db59eb11bcaf094",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-01-14T11:04:13Z",
    "title_canon_sha256": "0af3e9933fb0a2631724317b70975cd1486c1a7751c8c3dc026c9f777afc4850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2770",
    "kind": "arxiv",
    "version": 1
  }
}