Pith Number

pith:Y4CV33YR

pith:2020:Y4CV33YRAEWZNHJUFYDFWD3TVI

not attested not anchored not stored refs pending

Fibrations and lax limits of $(\infty,2)$-categories

Andrea Gagna, Edoardo Lanari, Yonatan Harpaz

arxiv:2012.04537 v2 · 2020-12-08 · math.AT · 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{Y4CV33YRAEWZNHJUFYDFWD3TVI}

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	2026-07-05T02:21:54.103586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7055def11012d969d342e065b0f73aa3059d2c3c09a4d41da84cb2915a2e420

Aliases

arxiv: 2012.04537 · arxiv_version: 2012.04537v2 · doi: 10.48550/arxiv.2012.04537 · pith_short_12: Y4CV33YRAEWZ · pith_short_16: Y4CV33YRAEWZNHJU · pith_short_8: Y4CV33YR

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/Y4CV33YRAEWZNHJUFYDFWD3TVI \
  | 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: c7055def11012d969d342e065b0f73aa3059d2c3c09a4d41da84cb2915a2e420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0935dcba75d7fc0b901c509b9d9a21c2ecf8318818b79b51926e7e182dbb18d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-12-08T16:27:50Z",
    "title_canon_sha256": "79569c8e4f41ca239bb3b13bd3d11d237c0cc86e8956e65912e88e6c7ea0d6cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.04537",
    "kind": "arxiv",
    "version": 2
  }
}