Pith Number

pith:VWFHTVGP

pith:2018:VWFHTVGPMFLNVFINN74KN6EAD3

not attested not anchored not stored refs pending

Jacobian rings for homogenous vector bundles and applications

An Huang, Bong Lian, Chenglong Yu, Shing-Tung Yau

arxiv:1801.08261 v1 · 2018-01-25 · 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{VWFHTVGPMFLNVFINN74KN6EAD3}

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	2026-05-18T00:25:06.714585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad8a79d4cf6156da950d6ff8a6f8801ee06c333b9bcbbcdc80efd6cba8937d5c

Aliases

arxiv: 1801.08261 · arxiv_version: 1801.08261v1 · doi: 10.48550/arxiv.1801.08261 · pith_short_12: VWFHTVGPMFLN · pith_short_16: VWFHTVGPMFLNVFIN · pith_short_8: VWFHTVGP

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/VWFHTVGPMFLNVFINN74KN6EAD3 \
  | 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: ad8a79d4cf6156da950d6ff8a6f8801ee06c333b9bcbbcdc80efd6cba8937d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92ea9d99dd9b38795f5d4274bba323cbae55a21c5c0a0ae272e711a0a8ac92fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-01-25T02:57:50Z",
    "title_canon_sha256": "714344de0ab763b0b159c2aefba5c94283bdc1dcdc7475eff5182f68e9a72e96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08261",
    "kind": "arxiv",
    "version": 1
  }
}