Pith Number

pith:YNOD2RI4

pith:2002:YNOD2RI4OGVQXC2BV4T5NIYHYS

not attested not anchored not stored refs pending

Introduction to the language of stacks and gerbes

Ieke Moerdijk (University of Utrecht)

arxiv:math/0212266 v1 · 2002-12-19 · 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{YNOD2RI4OGVQXC2BV4T5NIYHYS}

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

Fundamentals of Lie categories and Yang-Mills theory for multiplicative Ehresmann connections

Receipt and verification

First computed	2026-07-04T14:36:50.529612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c35c3d451c71ab0b8b41af27d6a307c48abd2cf3d1f2fbb20c41fe51cc221943

Aliases

arxiv: math/0212266 · arxiv_version: math/0212266v1 · doi: 10.48550/arxiv.math/0212266 · pith_short_12: YNOD2RI4OGVQ · pith_short_16: YNOD2RI4OGVQXC2B · pith_short_8: YNOD2RI4

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/YNOD2RI4OGVQXC2BV4T5NIYHYS \
  | 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: c35c3d451c71ab0b8b41af27d6a307c48abd2cf3d1f2fbb20c41fe51cc221943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e444681a4999a91ab3b0a464c10bae57494ec08a7eb3506765bb4ea8adec5fc",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-12-19T12:51:04Z",
    "title_canon_sha256": "1e33c3fdd3bb4d3467cd73fa4d77133636b15e639f5c185b8af633fa1cee6e41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212266",
    "kind": "arxiv",
    "version": 1
  }
}