Pith Number

pith:TVVND3SY

pith:2015:TVVND3SY62QIQ44SQDW6UGHXKK

not attested not anchored not stored refs pending

The Noether-Lefschetz locus of surfaces in toric threefolds

Antonella Grassi, Ugo Bruzzo

arxiv:1508.01895 v3 · 2015-08-08 · 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{TVVND3SY62QIQ44SQDW6UGHXKK}

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	2026-05-18T00:36:24.950912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d6ad1ee58f6a088739280edea18f7528b599a07190bb2e2c0e4c2367eb525a4

Aliases

arxiv: 1508.01895 · arxiv_version: 1508.01895v3 · doi: 10.48550/arxiv.1508.01895 · pith_short_12: TVVND3SY62QI · pith_short_16: TVVND3SY62QIQ44S · pith_short_8: TVVND3SY

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/TVVND3SY62QIQ44SQDW6UGHXKK \
  | 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: 9d6ad1ee58f6a088739280edea18f7528b599a07190bb2e2c0e4c2367eb525a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "590d95f6ff226114a5aa1aaf31cb3926b541213cad0085d662eba61f5ded2bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-08T12:41:39Z",
    "title_canon_sha256": "1968ab5d30dc472527e813729b568f4a70593fc14bbc2eb5d8504d516db7b811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01895",
    "kind": "arxiv",
    "version": 3
  }
}