Pith Number

pith:KC7VKT5O

pith:1999:KC7VKT5OUKXLISHVPCT5PMQCSW

not attested not anchored not stored refs pending

Brauer groups and quotient stacks

A. Kresch, A. Vistoli, B. Hassett, D. Edidin

arxiv:math/9905049 v3 · 1999-05-09 · 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{KC7VKT5OUKXLISHVPCT5PMQCSW}

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	2026-05-18T01:05:33.071279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50bf554faea2aeb448f578a7d7b202958b8c1f81ec9fe9aa899222267c7f5dfb

Aliases

arxiv: math/9905049 · arxiv_version: math/9905049v3 · doi: 10.48550/arxiv.math/9905049 · pith_short_12: KC7VKT5OUKXL · pith_short_16: KC7VKT5OUKXLISHV · pith_short_8: KC7VKT5O

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/KC7VKT5OUKXLISHVPCT5PMQCSW \
  | 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: 50bf554faea2aeb448f578a7d7b202958b8c1f81ec9fe9aa899222267c7f5dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c626853c330eabd2e34c9e845b3c4febe5241f1cc9ea75c66c89c4857aba649",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-05-09T22:30:13Z",
    "title_canon_sha256": "87ee29eb7d03eb77306482b8000efbb9c609935ceb30ad435e20c1c861227f08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9905049",
    "kind": "arxiv",
    "version": 3
  }
}