Pith Number

pith:CPF3L7JC

pith:2017:CPF3L7JCTVK3JSVMP5LWOXTMNU

not attested not anchored not stored refs pending

Modalities in homotopy type theory

Bas Spitters, Egbert Rijke, Michael Shulman

arxiv:1706.07526 v6 · 2017-06-22 · math.CT · 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{CPF3L7JCTVK3JSVMP5LWOXTMNU}

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.

Cited by

1 paper in Pith

Classifying Types

Receipt and verification

First computed	2026-07-05T06:23:20.678840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13cbb5fd229d55b4caac7f57675e6c6d37121c308fd5942efcd3c4e8454cc3f4

Aliases

arxiv: 1706.07526 · arxiv_version: 1706.07526v6 · doi: 10.48550/arxiv.1706.07526 · pith_short_12: CPF3L7JCTVK3 · pith_short_16: CPF3L7JCTVK3JSVM · pith_short_8: CPF3L7JC

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/CPF3L7JCTVK3JSVMP5LWOXTMNU \
  | 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: 13cbb5fd229d55b4caac7f57675e6c6d37121c308fd5942efcd3c4e8454cc3f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b70f5e8aad21f03f3886d23f6ceea340f802bb9cc303860f7eeea54ca5595c0",
    "cross_cats_sorted": [
      "cs.LO",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-06-22T23:57:55Z",
    "title_canon_sha256": "a3d1a9a1f3bd58dfdae301f35b0fcf7f5c98794c54f3f9ea3836249c1be531fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07526",
    "kind": "arxiv",
    "version": 6
  }
}