Pith Number

pith:VHC43MDS

pith:2018:VHC43MDSZXZ26QMMQLKNS7EQC2

not attested not anchored not stored refs pending

Duality and normalization, variations on a theme of Serre and Reid

Hailong Dao, J\'anos Koll\'ar

arxiv:1811.00042 v2 · 2018-10-31 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHC43MDSZXZ26QMMQLKNS7EQC2}

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	2026-05-17T23:58:47.379714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c5cdb072cdf3af418c82d4d97c9016b3d7f23c98c932a15f4b62769326141b

Aliases

arxiv: 1811.00042 · arxiv_version: 1811.00042v2 · doi: 10.48550/arxiv.1811.00042 · pith_short_12: VHC43MDSZXZ2 · pith_short_16: VHC43MDSZXZ26QMM · pith_short_8: VHC43MDS

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/VHC43MDSZXZ26QMMQLKNS7EQC2 \
  | 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: a9c5cdb072cdf3af418c82d4d97c9016b3d7f23c98c932a15f4b62769326141b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaf07417cc231e6a6a10c9d2540d4c467e2fecccab473b561d828af974f69421",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-31T18:10:08Z",
    "title_canon_sha256": "a31b3ffad7a01ca275a71fff242edba779e663b03a81e4a324f3e0350c829c64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00042",
    "kind": "arxiv",
    "version": 2
  }
}