Pith Number

pith:WWN4VJWM

pith:2021:WWN4VJWMBULY6YV2G6ZRJ4SX7K

not attested not anchored not stored refs pending

Yoneda's lemma for internal higher categories

Louis Martini

arxiv:2103.17141 v3 · 2021-03-31 · math.CT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWN4VJWMBULY6YV2G6ZRJ4SX7K}

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

3 papers in Pith

A condensed proof of the pro-\'etale and \'etale exodromy theorems

A model for normed algebras in rational G-spectra

Receipt and verification

First computed	2026-07-05T04:10:35.264005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59bcaa6cc0d178f62ba37b314f257fabbbf1ff77331ed744c8959801ac30634

Aliases

arxiv: 2103.17141 · arxiv_version: 2103.17141v3 · doi: 10.48550/arxiv.2103.17141 · pith_short_12: WWN4VJWMBULY · pith_short_16: WWN4VJWMBULY6YV2 · pith_short_8: WWN4VJWM

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/WWN4VJWMBULY6YV2G6ZRJ4SX7K \
  | 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: b59bcaa6cc0d178f62ba37b314f257fabbbf1ff77331ed744c8959801ac30634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea211f936943d762360ff4045243333d4da6c9655a191c5807210f09f5a90eb2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-03-31T15:06:12Z",
    "title_canon_sha256": "f68220a8fce74f54e1e926c98309705bc893472b75f44cb5ca6ba8af2897489d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.17141",
    "kind": "arxiv",
    "version": 3
  }
}