Pith Number

pith:I3DPUOOL

pith:2024:I3DPUOOLLNATPK5KA2M3YD2IVT

not attested not anchored not stored refs pending

Generating Higher Identity Proofs in Homotopy Type Theory

Thibaut Benjamin

arxiv:2412.01667 v1 · 2024-12-02 · cs.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{I3DPUOOLLNATPK5KA2M3YD2IVT}

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

1 paper in Pith

Naturality for higher-dimensional path types

Receipt and verification

First computed	2026-07-05T09:43:16.923064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c6fa39cb5b4137abaa0699bc0f48acfad09f2926b8b207c46f129b806be56a

Aliases

arxiv: 2412.01667 · arxiv_version: 2412.01667v1 · doi: 10.48550/arxiv.2412.01667 · pith_short_12: I3DPUOOLLNAT · pith_short_16: I3DPUOOLLNATPK5K · pith_short_8: I3DPUOOL

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/I3DPUOOLLNATPK5KA2M3YD2IVT \
  | 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: 46c6fa39cb5b4137abaa0699bc0f48acfad09f2926b8b207c46f129b806be56a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "448c285358341a21927d7175d3f1d7d9edb3ba47caf5d1938083fef610190aa6",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2024-12-02T16:16:04Z",
    "title_canon_sha256": "d803885453af4c2714d0d384989bc68044dbe584de09e3740fc8493a5802cd7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01667",
    "kind": "arxiv",
    "version": 1
  }
}