Pith Number

pith:C3S2RPII

pith:2016:C3S2RPII2LJ66CCNLSEDJXF6WN

not attested not anchored not stored refs pending

Linear Diophantine Equations, Group CSPs, and Graph Isomorphism

Christoph Berkholz, Martin Grohe

arxiv:1607.04287 v1 · 2016-07-14 · cs.CC · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3S2RPII2LJ66CCNLSEDJXF6WN}

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	2026-05-18T01:11:01.580449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e5a8bd08d2d3ef084d5c8834dcbeb35f0c3109fd4f9b856c88b7b2b245eb91

Aliases

arxiv: 1607.04287 · arxiv_version: 1607.04287v1 · doi: 10.48550/arxiv.1607.04287 · pith_short_12: C3S2RPII2LJ6 · pith_short_16: C3S2RPII2LJ66CCN · pith_short_8: C3S2RPII

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/C3S2RPII2LJ66CCNLSEDJXF6WN \
  | 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: 16e5a8bd08d2d3ef084d5c8834dcbeb35f0c3109fd4f9b856c88b7b2b245eb91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a960fae41ed315a45d3645e66fb74a8164e4370236eb4b799d324f3fbb6da1",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-07-14T20:00:11Z",
    "title_canon_sha256": "c5bcbc088ed8676112138f4d9e9025a91dd529da900bfe0f802d825e4da31fd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04287",
    "kind": "arxiv",
    "version": 1
  }
}