Pith Number

pith:5T3KMEH2

pith:2014:5T3KMEH2ZX7PKLGMSLU3NX2RYN

not attested not anchored not stored refs pending

Natural models of homotopy type theory

Steve Awodey

arxiv:1406.3219 v4 · 2014-06-12 · math.CT · 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{5T3KMEH2ZX7PKLGMSLU3NX2RYN}

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	2026-05-18T00:53:12.691909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf6a610facdfef52ccc92e9b6df51c365bfb8025c4139f678542e4deabce3d2

Aliases

arxiv: 1406.3219 · arxiv_version: 1406.3219v4 · doi: 10.48550/arxiv.1406.3219 · pith_short_12: 5T3KMEH2ZX7P · pith_short_16: 5T3KMEH2ZX7PKLGM · pith_short_8: 5T3KMEH2

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/5T3KMEH2ZX7PKLGMSLU3NX2RYN \
  | 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: ecf6a610facdfef52ccc92e9b6df51c365bfb8025c4139f678542e4deabce3d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2065698b8c34c6a9e07f5c07360ac3b5112b7b048909f3b9409d0afec8f9729",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-06-12T12:46:36Z",
    "title_canon_sha256": "b5daf9e82b1aaebfd77b0d0c09f3268a7057f31b081ae54f0e48621043fdcec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3219",
    "kind": "arxiv",
    "version": 4
  }
}