Pith Number

pith:4SEUII7D

pith:2012:4SEUII7DQXNFYOCRKG4AIJFKDS

not attested not anchored not stored refs pending

Homotopy Theoretic Models of Type Theory

Chris Kapulkin, Peter Arndt

arxiv:1208.5683 v2 · 2012-08-28 · math.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{4SEUII7DQXNFYOCRKG4AIJFKDS}

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	2026-05-18T03:46:48.744905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4894423e385da5c385151b80424aa1c86fda51a605c2cae595494b27c47643a

Aliases

arxiv: 1208.5683 · arxiv_version: 1208.5683v2 · doi: 10.48550/arxiv.1208.5683 · pith_short_12: 4SEUII7DQXNF · pith_short_16: 4SEUII7DQXNFYOCR · pith_short_8: 4SEUII7D

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/4SEUII7DQXNFYOCRKG4AIJFKDS \
  | 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: e4894423e385da5c385151b80424aa1c86fda51a605c2cae595494b27c47643a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ae9efd6df7135dcc4117b4c41411d43a17fa9130e82aab02a41246d0391d8e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-08-28T15:11:05Z",
    "title_canon_sha256": "a239e589bea4028f4d72476e0be92b2162227b20523116f85789b64beea71a23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5683",
    "kind": "arxiv",
    "version": 2
  }
}