Pith Number

pith:BC7E2VZK

pith:2022:BC7E2VZKYZL4O7UHISM747UPYR

not attested not anchored not stored refs pending

Bi-accessible and bipresentable 2-categories

Axel Osmond, Ivan Di Liberti

arxiv:2203.07046 v4 · 2022-03-14 · 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{BC7E2VZKYZL4O7UHISM747UPYR}

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	2026-07-05T11:47:09.010717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08be4d572ac657c77e874499fe7e8fc4623f9fd496bd9524dfb26d948c3dbdd5

Aliases

arxiv: 2203.07046 · arxiv_version: 2203.07046v4 · doi: 10.48550/arxiv.2203.07046 · pith_short_12: BC7E2VZKYZL4 · pith_short_16: BC7E2VZKYZL4O7UH · pith_short_8: BC7E2VZK

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/BC7E2VZKYZL4O7UHISM747UPYR \
  | 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: 08be4d572ac657c77e874499fe7e8fc4623f9fd496bd9524dfb26d948c3dbdd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34ffe0309ca0089155e7c3a37cf364d38038dcfd9e2a1e7ede773f02d23aedaf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-03-14T12:35:25Z",
    "title_canon_sha256": "38b0e87057e72d68b7c292f7652f260e2cd4b1df8c880b149666b8116bc3ef76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.07046",
    "kind": "arxiv",
    "version": 4
  }
}