Pith Number

pith:TGEXSVKY

pith:2011:TGEXSVKYBUWFLKP2VTMNHO6BPY

not attested not anchored not stored refs pending

Grothendieck-type inequalities in combinatorial optimization

Assaf Naor, Subhash Khot

arxiv:1108.2464 v1 · 2011-08-11 · cs.DS · cs.CC · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGEXSVKYBUWFLKP2VTMNHO6BPY}

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	2026-05-18T04:15:37.643472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99897955580d2c55a9faacd8d3bbc17e12dbc2968adb6ce6f5f04461f39033d6

Aliases

arxiv: 1108.2464 · arxiv_version: 1108.2464v1 · doi: 10.48550/arxiv.1108.2464 · pith_short_12: TGEXSVKYBUWF · pith_short_16: TGEXSVKYBUWFLKP2 · pith_short_8: TGEXSVKY

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/TGEXSVKYBUWFLKP2VTMNHO6BPY \
  | 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: 99897955580d2c55a9faacd8d3bbc17e12dbc2968adb6ce6f5f04461f39033d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "697e7d00bc9a952495d8de1a5f3a9cad4db3498e9679a7ca4a33af1e4cf31ad0",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-08-11T17:05:51Z",
    "title_canon_sha256": "f0fd2ef4a5779f4a0ae9828bf68674b3814ecea982e69db9dcbed952c6b87829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2464",
    "kind": "arxiv",
    "version": 1
  }
}