Pith Number

pith:W366J6DE

pith:2024:W366J6DESAPJKN5DXAL6CD4YT4

not attested not anchored not stored refs pending

Comparing semantic frameworks for dependently-sorted algebraic theories

Benedikt Ahrens, Paige Randall North, Peter LeFanu Lumsdaine

arxiv:2412.19946 v2 · 2024-12-27 · math.CT · cs.PL · 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{W366J6DESAPJKN5DXAL6CD4YT4}

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	2026-06-08T01:04:59.835698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6fde4f864901e9537a3b817e10f989f29234f7dc83024e6288ce6e20fdc5935

Aliases

arxiv: 2412.19946 · arxiv_version: 2412.19946v2 · doi: 10.48550/arxiv.2412.19946 · pith_short_12: W366J6DESAPJ · pith_short_16: W366J6DESAPJKN5D · pith_short_8: W366J6DE

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/W366J6DESAPJKN5DXAL6CD4YT4 \
  | 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: b6fde4f864901e9537a3b817e10f989f29234f7dc83024e6288ce6e20fdc5935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b42e9f8409b9a13f0d9b6ebe4e4233bca0de2f7a5ff5c60904142c9029f605",
    "cross_cats_sorted": [
      "cs.PL",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-12-27T22:55:39Z",
    "title_canon_sha256": "23213a570d57a02724dc615cd74cc64de0a4bf108e49aadcb9a6e8bf64815d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19946",
    "kind": "arxiv",
    "version": 2
  }
}