Pith Number

pith:YWGUXLQX

pith:2022:YWGUXLQX5YBYQZQXWGTN6EFWJC

not attested not anchored not stored refs pending

Fibred sites and existential toposes

Olivia Caramello

arxiv:2212.11693 v1 · 2022-12-22 · math.AG · math.CT · 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{YWGUXLQX5YBYQZQXWGTN6EFWJC}

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

2 papers in Pith

Locales in presheaf toposes vs. presheaves of locales

De Morgan's law in toposes I

Receipt and verification

First computed	2026-07-05T05:27:41.756175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c58d4bae17ee03886617b1a6df10b6488f75aaf9aabbd76915d83c1eaa0b48e5

Aliases

arxiv: 2212.11693 · arxiv_version: 2212.11693v1 · doi: 10.48550/arxiv.2212.11693 · pith_short_12: YWGUXLQX5YBY · pith_short_16: YWGUXLQX5YBYQZQX · pith_short_8: YWGUXLQX

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/YWGUXLQX5YBYQZQXWGTN6EFWJC \
  | 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: c58d4bae17ee03886617b1a6df10b6488f75aaf9aabbd76915d83c1eaa0b48e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac39f69747bc70dddced6a8ff288a7124bf25d0c232f281247a7dc74272ab2b5",
    "cross_cats_sorted": [
      "math.CT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-12-22T13:33:05Z",
    "title_canon_sha256": "22493d0a61ae00dc747200155cc5d7bc147a2d919600d6cfb704c19eab6b4367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.11693",
    "kind": "arxiv",
    "version": 1
  }
}