Pith Number

pith:577HJI3D

pith:2017:577HJI3DC6QRW2KYOLNIJWXEQ2

not attested not anchored not stored refs pending

Short Presburger arithmetic is hard

Danny Nguyen, Igor Pak

arxiv:1708.08179 v3 · 2017-08-28 · math.CO · cs.CC · cs.LO · math.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{577HJI3DC6QRW2KYOLNIJWXEQ2}

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	2026-05-18T00:32:25.476845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

effe74a36317a11b695872da84dae486b45342925546e48b97865c12920c289f

Aliases

arxiv: 1708.08179 · arxiv_version: 1708.08179v3 · doi: 10.48550/arxiv.1708.08179 · pith_short_12: 577HJI3DC6QR · pith_short_16: 577HJI3DC6QRW2KY · pith_short_8: 577HJI3D

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/577HJI3DC6QRW2KYOLNIJWXEQ2 \
  | 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: effe74a36317a11b695872da84dae486b45342925546e48b97865c12920c289f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e34e9f6c368f23fc878bd6549a46ceb12300808109cd68a4e9dd04a20e20897f",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-28T03:54:10Z",
    "title_canon_sha256": "98481ff59d9cc169d9b092abdaea6b10b7b4a02372fed5260a99fe192b875cc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08179",
    "kind": "arxiv",
    "version": 3
  }
}