Pith Number

pith:QGLBMCQG

pith:2017:QGLBMCQGI4TGMIEUX6I554EYMH

not attested not anchored not stored refs pending

VC-dimension of short Presburger formulas

Danny Nguyen, Igor Pak

arxiv:1710.04171 v1 · 2017-10-11 · math.LO · cs.LO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGLBMCQGI4TGMIEUX6I554EYMH}

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	2026-05-18T00:33:04.698531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8196160a064726662094bf91def09861d6a7223e3a08fa74726d339a08ab5391

Aliases

arxiv: 1710.04171 · arxiv_version: 1710.04171v1 · doi: 10.48550/arxiv.1710.04171 · pith_short_12: QGLBMCQGI4TG · pith_short_16: QGLBMCQGI4TGMIEU · pith_short_8: QGLBMCQG

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/QGLBMCQGI4TGMIEUX6I554EYMH \
  | 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: 8196160a064726662094bf91def09861d6a7223e3a08fa74726d339a08ab5391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeb1fd316595a59dcede3d86269b3c79f9efd088fa2a124706a049c7e3eef4d6",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-10-11T16:57:26Z",
    "title_canon_sha256": "14461b9554a511d9dbf84f3cc186ca20f047a67970603ddb4dab763b02713696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04171",
    "kind": "arxiv",
    "version": 1
  }
}