pith. sign in
Pith Number

pith:4FGJH45Y

pith:2016:4FGJH45Y7RRMZOIYOSXGCF56P3
not attested not anchored not stored refs pending

Models for Metamath

Mario Carneiro

arxiv:1601.07699 v4 · 2016-01-28 · math.LO · cs.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4FGJH45Y7RRMZOIYOSXGCF56P3}

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 2026-05-18T01:15:22.709426Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e14c93f3b8fc62ccb91874ae6117be7ee73017d1579a9cf1d35a27a71a7fb7b9

Aliases

arxiv: 1601.07699 · arxiv_version: 1601.07699v4 · doi: 10.48550/arxiv.1601.07699 · pith_short_12: 4FGJH45Y7RRM · pith_short_16: 4FGJH45Y7RRMZOIY · pith_short_8: 4FGJH45Y
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4FGJH45Y7RRMZOIYOSXGCF56P3 \
  | 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: e14c93f3b8fc62ccb91874ae6117be7ee73017d1579a9cf1d35a27a71a7fb7b9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c6fa1ae0ccc8121e2299723da2b171e6990afc5675afe38dca1a2220ff45b0da",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-01-28T09:26:52Z",
    "title_canon_sha256": "8d6b36161fb4bcbc1da092907d62f3e26363d0c7fd11e94141f420004d74b302"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07699",
    "kind": "arxiv",
    "version": 4
  }
}