Pith Number

pith:DP2SCY5H

pith:2010:DP2SCY5HWXO2JLX77ZMRUNQO27

not attested not anchored not stored refs pending

Directed Spanners via Flow-Based Linear Programs

Michael Dinitz, Robert Krauthgamer

arxiv:1011.3701 v2 · 2010-11-16 · 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{DP2SCY5HWXO2JLX77ZMRUNQO27}

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	2026-05-18T04:35:04.412226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bf52163a7b5dda4aefffe591a360ed7e2abce3dc012ef302a142a808802ccda

Aliases

arxiv: 1011.3701 · arxiv_version: 1011.3701v2 · doi: 10.48550/arxiv.1011.3701 · pith_short_12: DP2SCY5HWXO2 · pith_short_16: DP2SCY5HWXO2JLX7 · pith_short_8: DP2SCY5H

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/DP2SCY5HWXO2JLX77ZMRUNQO27 \
  | 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: 1bf52163a7b5dda4aefffe591a360ed7e2abce3dc012ef302a142a808802ccda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f151d29b69e65cfe1a74c6e1095f77721c671b2e0054b1fb1ef2f53feeff6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-11-16T14:14:17Z",
    "title_canon_sha256": "402add54e1e10f7f92141d1941baf854dbe6e17696ff2eb15278e98d815e4319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3701",
    "kind": "arxiv",
    "version": 2
  }
}