Pith Number

pith:IEMWRWNE

pith:2021:IEMWRWNECGPP7YFSNDBZDDWM4O

not attested not anchored not stored refs pending

The Overlap Gap Property: a Geometric Barrier to Optimizing over Random Structures

David Gamarnik

arxiv:2109.14409 v1 · 2021-08-01 · cs.CC · 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{IEMWRWNECGPP7YFSNDBZDDWM4O}

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	2026-07-05T05:05:27.681996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

411968d9a4119effe0b268c3918ecce3a849ce4d77138ffa60210d4fce296f4b

Aliases

arxiv: 2109.14409 · arxiv_version: 2109.14409v1 · doi: 10.48550/arxiv.2109.14409 · pith_short_12: IEMWRWNECGPP · pith_short_16: IEMWRWNECGPP7YFS · pith_short_8: IEMWRWNE

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/IEMWRWNECGPP7YFSNDBZDDWM4O \
  | 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: 411968d9a4119effe0b268c3918ecce3a849ce4d77138ffa60210d4fce296f4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c341d40377ad788c794b8c41462d7ddc81fea4dbcff625645193fcfe5e5494",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2021-08-01T22:20:02Z",
    "title_canon_sha256": "3a48732a8b6d31f4a06be58221a0c4ab6fb4a8fcdebb4b690d74ffd5d8ec441d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.14409",
    "kind": "arxiv",
    "version": 1
  }
}