Pith Number

pith:F63YEAPF

pith:2019:F63YEAPFMZ6MXXWQCDJJJ7DTOD

not attested not anchored not stored refs pending

A General Framework for the Semantics of Type Theory

Taichi Uemura

arxiv:1904.04097 v3 · 2019-04-08 · math.CT · cs.LO · 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{F63YEAPFMZ6MXXWQCDJJJ7DTOD}

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

Comparing semantic frameworks for dependently-sorted algebraic theories

Receipt and verification

First computed	2026-07-05T06:39:28.056786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb78201e5667ccbded010d294fc7370cea33d67f88e502a22c226ae361ad826

Aliases

arxiv: 1904.04097 · arxiv_version: 1904.04097v3 · doi: 10.48550/arxiv.1904.04097 · pith_short_12: F63YEAPFMZ6M · pith_short_16: F63YEAPFMZ6MXXWQ · pith_short_8: F63YEAPF

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/F63YEAPFMZ6MXXWQCDJJJ7DTOD \
  | 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: 2fb78201e5667ccbded010d294fc7370cea33d67f88e502a22c226ae361ad826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8746f29959f3dbec38a7ff3c844d3eada7b7d7cb34742b72667291511be41b",
    "cross_cats_sorted": [
      "cs.LO",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-04-08T14:37:59Z",
    "title_canon_sha256": "df5935096083fc5012bbfff887af50a80997bf14428729539821e7baf0d29a18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04097",
    "kind": "arxiv",
    "version": 3
  }
}