pith. sign in
Pith Number

pith:ZDRH2VCI

pith:2019:ZDRH2VCI7IO5WODDA6HWXK6BMW
not attested not anchored not stored refs pending

A Counterexample-guided Approach to Finding Numerical Invariants

Andrew Ruef, Michael Hicks, ThanhVu Nguyen, Timos Antopoulos

arxiv:1903.12113 v1 · 2019-03-28 · cs.SE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZDRH2VCI7IO5WODDA6HWXK6BMW}

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 2026-05-17T23:49:58.025752Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c8e27d5448fa1ddb3863078f6babc165bfa174447b1ecc053651c55dd5cfad6e

Aliases

arxiv: 1903.12113 · arxiv_version: 1903.12113v1 · doi: 10.48550/arxiv.1903.12113 · pith_short_12: ZDRH2VCI7IO5 · pith_short_16: ZDRH2VCI7IO5WODD · pith_short_8: ZDRH2VCI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZDRH2VCI7IO5WODDA6HWXK6BMW \
  | 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: c8e27d5448fa1ddb3863078f6babc165bfa174447b1ecc053651c55dd5cfad6e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "72fde48c222a473bfa9e8ff4d60b7867f394fa34f004685ca678222098ff104f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SE",
    "submitted_at": "2019-03-28T16:58:28Z",
    "title_canon_sha256": "a1f924a884cd3f550d86f200412b9667b3c4ed27d1698ac51eacdcb84f75509f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12113",
    "kind": "arxiv",
    "version": 1
  }
}