Pith Number

pith:Z2EKU3KM

pith:2022:Z2EKU3KMLLXJQNKW5QUZ3TXE72

not attested not anchored not stored refs pending

The geometry of Coherent topoi and Ultrastructures

Ivan Di Liberti

arxiv:2211.03104 v1 · 2022-11-06 · math.CT · math.GN · 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{Z2EKU3KMLLXJQNKW5QUZ3TXE72}

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

Duality theory for categorical theories

Receipt and verification

First computed	2026-07-05T05:13:44.392096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce88aa6d4c5aee983556ec299dcee4feab54743710a7b1c80e9eba1a8d389a79

Aliases

arxiv: 2211.03104 · arxiv_version: 2211.03104v1 · doi: 10.48550/arxiv.2211.03104 · pith_short_12: Z2EKU3KMLLXJ · pith_short_16: Z2EKU3KMLLXJQNKW · pith_short_8: Z2EKU3KM

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/Z2EKU3KMLLXJQNKW5QUZ3TXE72 \
  | 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: ce88aa6d4c5aee983556ec299dcee4feab54743710a7b1c80e9eba1a8d389a79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c20419c9c101e6fd3f324c1af0cbb24ee25ba3b98077ea689a3620c9aef769ec",
    "cross_cats_sorted": [
      "math.GN",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-11-06T13:05:07Z",
    "title_canon_sha256": "51a2336e899860df16c8d7977f8a85849b868a0d4971e3a7fde93b495db25b73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.03104",
    "kind": "arxiv",
    "version": 1
  }
}