Pith Number

pith:YKVSWJ3L

pith:2023:YKVSWJ3LXWUQTJ3IB4LPOOA2X2

not attested not anchored not stored refs pending

Birational geometry of Deligne-Mumford stacks

Andrew Kresch, Yuri Tschinkel

arxiv:2312.14061 v1 · 2023-12-21 · 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{YKVSWJ3LXWUQTJ3IB4LPOOA2X2}

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	2026-07-05T07:26:59.869331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2ab2b276bbda909a7680f16f7381abe929d8fda6cc4cd7f57ed575ac3a6184e

Aliases

arxiv: 2312.14061 · arxiv_version: 2312.14061v1 · doi: 10.48550/arxiv.2312.14061 · pith_short_12: YKVSWJ3LXWUQ · pith_short_16: YKVSWJ3LXWUQTJ3I · pith_short_8: YKVSWJ3L

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/YKVSWJ3LXWUQTJ3IB4LPOOA2X2 \
  | 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: c2ab2b276bbda909a7680f16f7381abe929d8fda6cc4cd7f57ed575ac3a6184e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b038dfdf1a50301dc648bfa6da218e821c3d75c1896bf2d8c6b548e806a65a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-12-21T17:40:31Z",
    "title_canon_sha256": "48622a9526e77abd54c9652555c7f18f1e68601921ea52b67aadec0853e45f20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.14061",
    "kind": "arxiv",
    "version": 1
  }
}