Pith Number

pith:NSNGTHST

pith:2009:NSNGTHSTHN7UAVLNLTKVRWA653

not attested not anchored not stored refs pending

Non-liftable Calabi-Yau spaces

Matthias Schuett, Slawomir Cynk

arxiv:0910.2349 v2 · 2009-10-13 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSNGTHSTHN7UAVLNLTKVRWA653}

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	2026-05-18T02:11:24.185467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c9a699e533b7f40556d5cd558d81eeee87d14c5b10937a2e6a5de4b0eff6096

Aliases

arxiv: 0910.2349 · arxiv_version: 0910.2349v2 · doi: 10.48550/arxiv.0910.2349 · pith_short_12: NSNGTHSTHN7U · pith_short_16: NSNGTHSTHN7UAVLN · pith_short_8: NSNGTHST

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/NSNGTHSTHN7UAVLNLTKVRWA653 \
  | 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: 6c9a699e533b7f40556d5cd558d81eeee87d14c5b10937a2e6a5de4b0eff6096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3be970708b1b1ed28f1f2ee28f615f06408a419538d09c348b76972323b2b6f5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-10-13T09:54:18Z",
    "title_canon_sha256": "1e98c670bbce73d0a4d123cc3a939a3f34b17e38dc40e53bcb4d58394681774d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2349",
    "kind": "arxiv",
    "version": 2
  }
}