Pith Number

pith:DXLMWUEL

pith:2018:DXLMWUELHV2EDD2DPFORJFZISD

not attested not anchored not stored refs pending

Separating Path and Identity Types in Presheaf Models of Univalent Type Theory

Andrew Swan

arxiv:1808.00920 v3 · 2018-08-02 · 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{DXLMWUELHV2EDD2DPFORJFZISD}

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	2026-05-18T00:02:59.551024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dd6cb508b3d74418f43795d14972890d4f7eac6cc207e217b88d0b7c3d23493

Aliases

arxiv: 1808.00920 · arxiv_version: 1808.00920v3 · doi: 10.48550/arxiv.1808.00920 · pith_short_12: DXLMWUELHV2E · pith_short_16: DXLMWUELHV2EDD2D · pith_short_8: DXLMWUEL

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/DXLMWUELHV2EDD2DPFORJFZISD \
  | 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: 1dd6cb508b3d74418f43795d14972890d4f7eac6cc207e217b88d0b7c3d23493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdeb4c9309c770a8db4638aaceeda7d5f2f66cb921097cbdd906be1e414079e6",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-08-02T17:11:27Z",
    "title_canon_sha256": "c86c33a89ddee9168f6c9110ded2e36ca6992c46dec963bd1f72e46d3393f331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00920",
    "kind": "arxiv",
    "version": 3
  }
}