Pith Number

pith:I3XPHFN6

pith:2018:I3XPHFN6WJOQRZHQM36C6X7MY5

not attested not anchored not stored refs pending

Identity Types in Algebraic Model Structures and Cubical Sets

Andrew Swan

arxiv:1808.00915 v1 · 2018-08-02 · 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{I3XPHFN6WJOQRZHQM36C6X7MY5}

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	2026-05-18T00:09:01.029381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46eef395beb25d08e4f066fc2f5fecc76940674ef19a2a22ed3687f2e53c82dd

Aliases

arxiv: 1808.00915 · arxiv_version: 1808.00915v1 · doi: 10.48550/arxiv.1808.00915 · pith_short_12: I3XPHFN6WJOQ · pith_short_16: I3XPHFN6WJOQRZHQ · pith_short_8: I3XPHFN6

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/I3XPHFN6WJOQRZHQM36C6X7MY5 \
  | 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: 46eef395beb25d08e4f066fc2f5fecc76940674ef19a2a22ed3687f2e53c82dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cef3ba3fc8e83d5bd6d2e0af55313da310fd223d5718b9b45c3ce14309a42448",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-08-02T17:01:21Z",
    "title_canon_sha256": "d256238beedeaa92862acc05a9574705fca9874b5adf14beb37a9af838630033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00915",
    "kind": "arxiv",
    "version": 1
  }
}