Pith Number

pith:T62FOFT6

pith:2024:T62FOFT64GMRQXLKVMITLAQVI4

not attested not anchored not stored refs pending

Some easy optimization problems have the overlap-gap property

Shuangping Li, Tselil Schramm

arxiv:2411.01836 v3 · 2024-11-04 · cs.CC · cs.DS · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T62FOFT64GMRQXLKVMITLAQVI4}

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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.

Cited by

1 paper in Pith

Algorithmic Phase Transition for Large Independent Sets in Dense Hypergraphs

Receipt and verification

First computed	2026-07-05T11:26:01.480620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fb457167ee199185d6aab11358215471ab3dac781b05cd9cf30e0fe21f6c6e4

Aliases

arxiv: 2411.01836 · arxiv_version: 2411.01836v3 · doi: 10.48550/arxiv.2411.01836 · pith_short_12: T62FOFT64GMR · pith_short_16: T62FOFT64GMRQXLK · pith_short_8: T62FOFT6

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/T62FOFT64GMRQXLKVMITLAQVI4 \
  | 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: 9fb457167ee199185d6aab11358215471ab3dac781b05cd9cf30e0fe21f6c6e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4ce885f63263ca672f8c7fcc40f4728b0dab5d5f6f75135bcd518360f767193",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2024-11-04T06:15:25Z",
    "title_canon_sha256": "59b4de4ec4bebd85068acd8df6bb1b3ccb810a6c06dd4fc2414882669c501991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.01836",
    "kind": "arxiv",
    "version": 3
  }
}