Pith Number

pith:P2C6NWCL

pith:2016:P2C6NWCLCGT23HVN3TZNIUGF4T

not attested not anchored not stored refs pending

A Birthday Repetition Theorem and Complexity of Approximating Dense CSPs

Pasin Manurangsi, Prasad Raghavendra

arxiv:1607.02986 v1 · 2016-07-11 · 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{P2C6NWCLCGT23HVN3TZNIUGF4T}

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	2026-05-18T01:11:14.248810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e85e6d84b11a7ad9eaddcf2d450c5e4c16ef87ed0dcd4baaa545262fcea2e9c

Aliases

arxiv: 1607.02986 · arxiv_version: 1607.02986v1 · doi: 10.48550/arxiv.1607.02986 · pith_short_12: P2C6NWCLCGT2 · pith_short_16: P2C6NWCLCGT23HVN · pith_short_8: P2C6NWCL

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/P2C6NWCLCGT23HVN3TZNIUGF4T \
  | 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: 7e85e6d84b11a7ad9eaddcf2d450c5e4c16ef87ed0dcd4baaa545262fcea2e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "827de61b86ab751087dfa9067e1c4384c61f497cc610f3ef8f772218828087bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-07-11T14:54:04Z",
    "title_canon_sha256": "5ec9bf1da0f80969c5150c4fa62dc19a66f7b168dfa7809491af473970dd3388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02986",
    "kind": "arxiv",
    "version": 1
  }
}