Pith Number

pith:GDZERHTI

pith:2023:GDZERHTIDE2ESPKRCGDAXEYWG6

not attested not anchored not stored refs pending

Formalizing the $\infty$-Categorical Yoneda Lemma

Emily Riehl, Jonathan Weinberger, Nikolai Kudasov

arxiv:2309.08340 v3 · 2023-09-15 · math.CT · cs.LO · math.AT · 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{GDZERHTIDE2ESPKRCGDAXEYWG6}

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	2026-07-05T07:23:49.999164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f2489e681934493d5111860b9316379b0349da8af43f4d7e463dd1b65ca43d

Aliases

arxiv: 2309.08340 · arxiv_version: 2309.08340v3 · doi: 10.48550/arxiv.2309.08340 · pith_short_12: GDZERHTIDE2E · pith_short_16: GDZERHTIDE2ESPKR · pith_short_8: GDZERHTI

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/GDZERHTIDE2ESPKRCGDAXEYWG6 \
  | 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: 30f2489e681934493d5111860b9316379b0349da8af43f4d7e463dd1b65ca43d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7157f09cdcc91759ea92ac70b94c4e210a6dc315c468c4902a872ad34b212711",
    "cross_cats_sorted": [
      "cs.LO",
      "math.AT",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-09-15T11:51:40Z",
    "title_canon_sha256": "e036775f3075a7134596d783f3c40582231c2dafc4694368c21cdcdeb4b4a17d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.08340",
    "kind": "arxiv",
    "version": 3
  }
}