Pith Number

pith:NNCHQ4BW

pith:2012:NNCHQ4BWHT2XTWZYFW3JVR6L7P

not attested not anchored not stored refs pending

Gluing restricted nerves of $\infty$-categories

Weizhe Zheng, Yifeng Liu

arxiv:1211.5294 v4 · 2012-11-22 · math.CT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNCHQ4BWHT2XTWZYFW3JVR6L7P}

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

A characterization of sheaves among six functor formalisms on $\mathrm{LCH}$

Receipt and verification

First computed	2026-05-18T01:55:58.443917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b447870363cf579db382db69ac7cbfbe73040eea0636efd172b210bd4410da0

Aliases

arxiv: 1211.5294 · arxiv_version: 1211.5294v4 · doi: 10.48550/arxiv.1211.5294 · pith_short_12: NNCHQ4BWHT2X · pith_short_16: NNCHQ4BWHT2XTWZY · pith_short_8: NNCHQ4BW

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/NNCHQ4BWHT2XTWZYFW3JVR6L7P \
  | 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: 6b447870363cf579db382db69ac7cbfbe73040eea0636efd172b210bd4410da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd3ea5bb0dcdc5625d9476cf11efa3f22252002474016e9544312dda7b5ebe9e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-11-22T14:20:27Z",
    "title_canon_sha256": "8284d82f0dedf1123d0c2d43899b3fc7190afa8f09d43925e9953db925ee4c0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5294",
    "kind": "arxiv",
    "version": 4
  }
}