Pith Number

pith:BTUES3LC

pith:2018:BTUES3LC4CIDVT3U3MBIGR2WDU

not attested not anchored not stored refs pending

On the Formalization of Higher Inductive Types and Synthetic Homotopy Theory

Floris van Doorn

arxiv:1808.10690 v1 · 2018-08-31 · math.AT · 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{BTUES3LC4CIDVT3U3MBIGR2WDU}

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

Automating Boundary Filling in Cubical Type Theories

Receipt and verification

First computed	2026-05-18T00:06:45.077997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ce8496d62e0903acf74db028347561d2e7c51e685c7b238c87f5cb065b30b90

Aliases

arxiv: 1808.10690 · arxiv_version: 1808.10690v1 · doi: 10.48550/arxiv.1808.10690 · pith_short_12: BTUES3LC4CID · pith_short_16: BTUES3LC4CIDVT3U · pith_short_8: BTUES3LC

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/BTUES3LC4CIDVT3U3MBIGR2WDU \
  | 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: 0ce8496d62e0903acf74db028347561d2e7c51e685c7b238c87f5cb065b30b90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e251376c1a4f7a393aeb0d5343033dd25413d801f157abc50e91f9206d081488",
    "cross_cats_sorted": [
      "cs.LO",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-08-31T11:34:04Z",
    "title_canon_sha256": "eb487bfb6d1752dafa43615ac5dfa46a7fe15a8c93e1a916c99ec86cda0fc044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10690",
    "kind": "arxiv",
    "version": 1
  }
}