Pith Number

pith:QRXRSCRT

pith:2025:QRXRSCRTB7YZNUUJ5DG2POAEHN

not attested not anchored not stored refs pending

A Model of Type Theory in Groupoid Assemblies

Anthony Agwu

arxiv:2507.16062 v1 · 2025-07-21 · 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{QRXRSCRTB7YZNUUJ5DG2POAEHN}

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	2026-07-05T11:41:27.171466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

846f190a330ff196d289e8cda7b8043b4f514ae637211d1102e5fd8103af8968

Aliases

arxiv: 2507.16062 · arxiv_version: 2507.16062v1 · doi: 10.48550/arxiv.2507.16062 · pith_short_12: QRXRSCRTB7YZ · pith_short_16: QRXRSCRTB7YZNUUJ · pith_short_8: QRXRSCRT

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/QRXRSCRTB7YZNUUJ5DG2POAEHN \
  | 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: 846f190a330ff196d289e8cda7b8043b4f514ae637211d1102e5fd8103af8968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6c7e5f468dc2dc75f74c3d6eec932f9488ac0c6de1bc18b092f51e66f0510c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-07-21T20:55:53Z",
    "title_canon_sha256": "396f4e5a4b651ffe4e59d169dc156f7cbd657dbb3e123eac2dd8bfeaceee81bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16062",
    "kind": "arxiv",
    "version": 1
  }
}