Pith Number

pith:E7QWCK7J

pith:2010:E7QWCK7JW6PTRESF5ZVZ2OPDIS

not attested not anchored not stored refs pending

Steiner Transitive-Closure Spanners of d-Dimensional Posets

Arnab Bhattacharyya, David Woodruff, Elena Grigorescu, Grigory Yaroslavtsev, Piotr Berman, Sofya Raskhodnikova

arxiv:1011.6100 v1 · 2010-11-28 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E7QWCK7JW6PTRESF5ZVZ2OPDIS}

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	2026-05-18T04:34:36.401205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e1612be9b79f389245ee6b9d39e34480cebea27d6680d52647b4fdb8064d5c

Aliases

arxiv: 1011.6100 · arxiv_version: 1011.6100v1 · doi: 10.48550/arxiv.1011.6100 · pith_short_12: E7QWCK7JW6PT · pith_short_16: E7QWCK7JW6PTRESF · pith_short_8: E7QWCK7J

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/E7QWCK7JW6PTRESF5ZVZ2OPDIS \
  | 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: 27e1612be9b79f389245ee6b9d39e34480cebea27d6680d52647b4fdb8064d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d9a11afbc754c72d6a808edc1c242f739dd34900c23a294519ba9cdc8d4335f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-11-28T22:40:46Z",
    "title_canon_sha256": "118f45ee718888db476abb82507298d7cdee606b1c2741dca3e0470ce0f85537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6100",
    "kind": "arxiv",
    "version": 1
  }
}