Pith Number

pith:F3ZSVJTL

pith:2019:F3ZSVJTLNGOQS4XQRLTM25PXVT

not attested not anchored not stored refs pending

Constructive sheaf models of type theory

Christian Sattler, Fabian Ruch, Thierry Coquand

arxiv:1912.10407 v4 · 2019-12-22 · 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{F3ZSVJTLNGOQS4XQRLTM25PXVT}

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	2026-07-05T01:17:06.776162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef32aa66b699d0972f08ae6cd75f7acc4bdc1509dbaf042e57479ae199ab46e

Aliases

arxiv: 1912.10407 · arxiv_version: 1912.10407v4 · doi: 10.48550/arxiv.1912.10407 · pith_short_12: F3ZSVJTLNGOQ · pith_short_16: F3ZSVJTLNGOQS4XQ · pith_short_8: F3ZSVJTL

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/F3ZSVJTLNGOQS4XQRLTM25PXVT \
  | 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: 2ef32aa66b699d0972f08ae6cd75f7acc4bdc1509dbaf042e57479ae199ab46e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d260037e626ce1bd4e0fbd4265c4729019bc2d6a11b7bd778d3dc6cf7c8a259",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-12-22T10:02:06Z",
    "title_canon_sha256": "09b54aafed408c981fd4b3337ddb6dfbb0b05bf1d39930e629e60be72b711909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10407",
    "kind": "arxiv",
    "version": 4
  }
}