Pith Number

pith:YXTF5SYR

pith:2010:YXTF5SYRDSUL52QD4GVXAHS3UM

not attested not anchored not stored refs pending

Fibred toric varieties in toric hyperk\"{a}hler varieties

Craig van Coevering, Wei Zhang

arxiv:1012.2427 v3 · 2010-12-11 · math.AG · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXTF5SYRDSUL52QD4GVXAHS3UM}

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	2026-05-18T04:19:32.175662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e65ecb111ca8beea03e1ab701e5ba3057a86defa7e197e88b0d8e1b8053eb4

Aliases

arxiv: 1012.2427 · arxiv_version: 1012.2427v3 · doi: 10.48550/arxiv.1012.2427 · pith_short_12: YXTF5SYRDSUL · pith_short_16: YXTF5SYRDSUL52QD · pith_short_8: YXTF5SYR

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/YXTF5SYRDSUL52QD4GVXAHS3UM \
  | 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: c5e65ecb111ca8beea03e1ab701e5ba3057a86defa7e197e88b0d8e1b8053eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38997634d6bc5e4541ee3f9bbccc50739d2fa9759c31bf6e2ef2c2b9fb14dad4",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-11T05:16:05Z",
    "title_canon_sha256": "98f7332200547e7d9ff44c1d6712e5f6d0164d6ff0f313ef7ba76c60be55f7c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2427",
    "kind": "arxiv",
    "version": 3
  }
}