Pith Number

pith:4ZS5IGCC

pith:2019:4ZS5IGCC2LK76JDBFQQQFHPJX3

not attested not anchored not stored refs pending

CSPs with Global Modular Constraints: Algorithms and Hardness via Polynomial Representations

Joshua Brakensiek, Sivakanth Gopi, Venkatesan Guruswami

arxiv:1902.04740 v1 · 2019-02-13 · cs.CC · cs.DS · cs.IT · cs.LO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZS5IGCC2LK76JDBFQQQFHPJX3}

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	2026-05-17T23:54:06.113579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e665d41842d2d5ff24612c21029de9bef1f1d54898dc6cf1f60af4da3ad727c0

Aliases

arxiv: 1902.04740 · arxiv_version: 1902.04740v1 · doi: 10.48550/arxiv.1902.04740 · pith_short_12: 4ZS5IGCC2LK7 · pith_short_16: 4ZS5IGCC2LK76JDB · pith_short_8: 4ZS5IGCC

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/4ZS5IGCC2LK76JDBFQQQFHPJX3 \
  | 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: e665d41842d2d5ff24612c21029de9bef1f1d54898dc6cf1f60af4da3ad727c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ae82ff07acb722b6830133432af830530457e2e51017e283ee493ee9753d05f",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.IT",
      "cs.LO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-02-13T04:49:40Z",
    "title_canon_sha256": "b45fc73fd9039cc22c43c237703f641bd584e245100b948bd9c9f161e7f196c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04740",
    "kind": "arxiv",
    "version": 1
  }
}