Pith Number

pith:NWMSMS6G

pith:2012:NWMSMS6GT64AVNVPPMOX62IQE5

not attested not anchored not stored refs pending

Subvarieties of small codimension in smooth projective varieties

Qifeng Li

arxiv:1207.5621 v3 · 2012-07-24 · 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{NWMSMS6GT64AVNVPPMOX62IQE5}

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	2026-05-18T02:20:50.159193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d99264bc69fb80ab6af7b1d7f6910277696126fb3530a60fedc7b6944a6c215

Aliases

arxiv: 1207.5621 · arxiv_version: 1207.5621v3 · doi: 10.48550/arxiv.1207.5621 · pith_short_12: NWMSMS6GT64A · pith_short_16: NWMSMS6GT64AVNVP · pith_short_8: NWMSMS6G

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/NWMSMS6GT64AVNVPPMOX62IQE5 \
  | 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: 6d99264bc69fb80ab6af7b1d7f6910277696126fb3530a60fedc7b6944a6c215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7a548e08ae72c5a63c36d1e7bd7c1c198be234b8fcc71b5db6001cb9eaab956",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-24T08:51:12Z",
    "title_canon_sha256": "9c366b2c19bbf6155d39ce5b724ada0353a433d2cb9b77e2b324438e181ab1a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5621",
    "kind": "arxiv",
    "version": 3
  }
}