Pith Number

pith:4DNRRTGF

pith:2015:4DNRRTGFFNDFJQ6Y6KFNW7VFEH

not attested not anchored not stored refs pending

Tight Lower Bounds for Planted Clique in the Degree-4 SOS Program

Prasad Raghavendra, Tselil Schramm

arxiv:1507.05136 v3 · 2015-07-18 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DNRRTGFFNDFJQ6Y6KFNW7VFEH}

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	2026-05-18T01:19:11.966508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0db18ccc52b4654c3d8f28adb7ea521e0411b225052d770122c56b1fa690503

Aliases

arxiv: 1507.05136 · arxiv_version: 1507.05136v3 · doi: 10.48550/arxiv.1507.05136 · pith_short_12: 4DNRRTGFFNDF · pith_short_16: 4DNRRTGFFNDFJQ6Y · pith_short_8: 4DNRRTGF

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/4DNRRTGFFNDFJQ6Y6KFNW7VFEH \
  | 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: e0db18ccc52b4654c3d8f28adb7ea521e0411b225052d770122c56b1fa690503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00a6a097f3575c4cffec366d931eb8abb1daed878740e86294d8877759ef648d",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-07-18T00:32:28Z",
    "title_canon_sha256": "00cd18146462292a6511fcb337f07029fb010dadf2f8e47560328991ecc7b06b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05136",
    "kind": "arxiv",
    "version": 3
  }
}