Pith Number

pith:BCLGJYDT

pith:2017:BCLGJYDTPP76D4XNLWZGQCRFPC

not attested not anchored not stored refs pending

Stratifying quotient stacks and moduli stacks

Frances Kirwan, Gergely B\'erczi, Victoria Hoskins

arxiv:1711.10215 v1 · 2017-11-28 · 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{BCLGJYDTPP76D4XNLWZGQCRFPC}

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	2026-05-18T00:29:22.912017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089664e0737bffe1f2ed5db2680a2578a72c4b8a1948d8a77976b6b09d4014dc

Aliases

arxiv: 1711.10215 · arxiv_version: 1711.10215v1 · doi: 10.48550/arxiv.1711.10215 · pith_short_12: BCLGJYDTPP76 · pith_short_16: BCLGJYDTPP76D4XN · pith_short_8: BCLGJYDT

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/BCLGJYDTPP76D4XNLWZGQCRFPC \
  | 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: 089664e0737bffe1f2ed5db2680a2578a72c4b8a1948d8a77976b6b09d4014dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7f4e56da2d99c2e03d9887a2cd7e1a0eee98c3f59437002f1de22a1426fda8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-11-28T10:19:30Z",
    "title_canon_sha256": "2945e4d89ac21a2ac7372f7cd7e7bbc15f16ff23c27f0d52c3d092d57684922f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10215",
    "kind": "arxiv",
    "version": 1
  }
}