Pith Number

pith:QZSSV3T7

pith:2019:QZSSV3T7KC73JJ5GEKXT3VBZTC

not attested not anchored not stored refs pending

Construction of the Circle in UniMath

Daniel R. Grayson, Marc Bezem, Michael Shulman, Ulrik Buchholtz

arxiv:1910.01856 v2 · 2019-10-04 · math.LO · cs.LO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZSSV3T7KC73JJ5GEKXT3VBZTC}

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	2026-07-05T01:52:33.517785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86652aee7f50bfb4a7a622af3dd43998a49f7d439006ce81d2010b56a4e3a305

Aliases

arxiv: 1910.01856 · arxiv_version: 1910.01856v2 · doi: 10.48550/arxiv.1910.01856 · pith_short_12: QZSSV3T7KC73 · pith_short_16: QZSSV3T7KC73JJ5G · pith_short_8: QZSSV3T7

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/QZSSV3T7KC73JJ5GEKXT3VBZTC \
  | 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: 86652aee7f50bfb4a7a622af3dd43998a49f7d439006ce81d2010b56a4e3a305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b64ead760a6bd8c6daa03a3bfdc2788fd499a0d5e3b82e9b252ea5237900888b",
    "cross_cats_sorted": [
      "cs.LO",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-10-04T10:18:33Z",
    "title_canon_sha256": "322d6f0ff6e1c292a159ef5fe11416d4570ae71e1d3a4abcfdcda38fef70d6f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.01856",
    "kind": "arxiv",
    "version": 2
  }
}