Pith Number

pith:6PQ3IS32

pith:2015:6PQ3IS322YEJEGR3T2P6ID5WTG

not attested not anchored not stored refs pending

Homotopy-initial algebras in type theory

Kristina Sojakova, Nicola Gambino, Steve Awodey

arxiv:1504.05531 v1 · 2015-04-21 · math.LO · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PQ3IS322YEJEGR3T2P6ID5WTG}

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	2026-05-18T02:18:14.059214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e1b44b7ad608921a3b9e9fe40fb6998a2e89adaeee7ee835aa46d82663d82a

Aliases

arxiv: 1504.05531 · arxiv_version: 1504.05531v1 · doi: 10.48550/arxiv.1504.05531 · pith_short_12: 6PQ3IS322YEJ · pith_short_16: 6PQ3IS322YEJEGR3 · pith_short_8: 6PQ3IS32

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/6PQ3IS322YEJEGR3T2P6ID5WTG \
  | 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: f3e1b44b7ad608921a3b9e9fe40fb6998a2e89adaeee7ee835aa46d82663d82a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d93900c41942473c0d143c2b188d58c94a76774994128e705ad8b65d2fb3f23f",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-04-21T18:11:37Z",
    "title_canon_sha256": "57f619ae3cc87fda23542701e16b38e68cea4600d6cf634771e547e9eef6ef02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05531",
    "kind": "arxiv",
    "version": 1
  }
}