Pith Number

pith:AGX4LDTI

pith:2018:AGX4LDTIEOFYYF37R5NGBRTDT7

not attested not anchored not stored refs pending

Graphical Regular Logic

Brendan Fong, David I Spivak

arxiv:1812.05765 v3 · 2018-12-14 · 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{AGX4LDTIEOFYYF37R5NGBRTDT7}

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

Double-functorial representation of regular hyperdoctrines

Receipt and verification

First computed	2026-05-17T23:42:49.833346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01afc58e68238b8c177f8f5a60c6639fc9af470b0b45f507e5f18d0e24105730

Aliases

arxiv: 1812.05765 · arxiv_version: 1812.05765v3 · doi: 10.48550/arxiv.1812.05765 · pith_short_12: AGX4LDTIEOFY · pith_short_16: AGX4LDTIEOFYYF37 · pith_short_8: AGX4LDTI

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/AGX4LDTIEOFYYF37R5NGBRTDT7 \
  | 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: 01afc58e68238b8c177f8f5a60c6639fc9af470b0b45f507e5f18d0e24105730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f303afa38147e3a36f43deee233d7fea4eea981de34660b7df3d133cf7b2884a",
    "cross_cats_sorted": [
      "cs.LO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-12-14T03:07:29Z",
    "title_canon_sha256": "1df536cc9e19c5153e05b323e104eb9e295c3f3ebe7764f595875b30e06f040e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05765",
    "kind": "arxiv",
    "version": 3
  }
}