Pith Number

pith:3FXLBO7Y

pith:2018:3FXLBO7YCTLAWT3TKOFXGERAGI

not attested not anchored not stored refs pending

Internal Universes in Models of Homotopy Type Theory

Andrew M. Pitts, Bas Spitters, Daniel R. Licata, Ian Orton

arxiv:1801.07664 v4 · 2018-01-23 · cs.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{3FXLBO7YCTLAWT3TKOFXGERAGI}

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

3 papers in Pith

Directed proof-relevant logical relations in simplicial HoTT

Constructive higher sheaf models with applications to synthetic mathematics

Receipt and verification

First computed	2026-07-05T00:26:31.535269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d96eb0bbf814d60b4f73538b7312203210acceb1dc65a65dc4dc857ff5716cb5

Aliases

arxiv: 1801.07664 · arxiv_version: 1801.07664v4 · doi: 10.48550/arxiv.1801.07664 · pith_short_12: 3FXLBO7YCTLA · pith_short_16: 3FXLBO7YCTLAWT3T · pith_short_8: 3FXLBO7Y

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/3FXLBO7YCTLAWT3TKOFXGERAGI \
  | 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: d96eb0bbf814d60b4f73538b7312203210acceb1dc65a65dc4dc857ff5716cb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf441107e6842e4f2bc91b0b419911f19ac603380d2e4242f4aa5b617ed7ff0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2018-01-23T17:21:55Z",
    "title_canon_sha256": "c67333ffb1e12bde13197961b3587026761ce18bd00d76035b429449a5097521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07664",
    "kind": "arxiv",
    "version": 4
  }
}