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Pith Number

pith:N4HMI36D

pith:2011:N4HMI36DS3M37SU2CK27Y2HASH
not attested not anchored not stored refs pending

Fault-Tolerant Spanners: Better and Simpler

Michael Dinitz, Robert Krauthgamer

arxiv:1101.5753 v1 · 2011-01-30 · cs.DS · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{N4HMI36DS3M37SU2CK27Y2HASH}

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 2026-05-18T04:30:24.890814Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6f0ec46fc396d9bfca9a12b5fc68e091edb1a22f1428ae4ff4daff80dd30d7ed

Aliases

arxiv: 1101.5753 · arxiv_version: 1101.5753v1 · doi: 10.48550/arxiv.1101.5753 · pith_short_12: N4HMI36DS3M3 · pith_short_16: N4HMI36DS3M37SU2 · pith_short_8: N4HMI36D
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/N4HMI36DS3M37SU2CK27Y2HASH \
  | 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: 6f0ec46fc396d9bfca9a12b5fc68e091edb1a22f1428ae4ff4daff80dd30d7ed
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2a795bbc771c5c5726899e21411f2482d766ba73444f97812fe3557dc0f69e30",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-01-30T09:35:13Z",
    "title_canon_sha256": "e13c81a243566937f8d1ec5967f88b3f4fd92f8e051d053733f230d5397b4010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5753",
    "kind": "arxiv",
    "version": 1
  }
}