Pith Number

pith:GKYLPCFJ

pith:2019:GKYLPCFJ22NOFKU2XPXDA4JPUH

not attested not anchored not stored refs pending

Asymptotic estimate of cohomology groups valued in pseudo-effective line bundles

Xiangyu Zhou, Zhiwei Wang

arxiv:1905.03473 v1 · 2019-05-09 · math.CV · 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{GKYLPCFJ22NOFKU2XPXDA4JPUH}

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	2026-05-17T23:46:39.771044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b0b788a9d69ae2aa9abbee30712fa1f5542e4cc85949358d5bf9d7ade225b3

Aliases

arxiv: 1905.03473 · arxiv_version: 1905.03473v1 · doi: 10.48550/arxiv.1905.03473 · pith_short_12: GKYLPCFJ22NO · pith_short_16: GKYLPCFJ22NOFKU2 · pith_short_8: GKYLPCFJ

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/GKYLPCFJ22NOFKU2XPXDA4JPUH \
  | 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: 32b0b788a9d69ae2aa9abbee30712fa1f5542e4cc85949358d5bf9d7ade225b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7159abbc2754d30822c568907fdce5306ed141e9da581051b138cebcd4f454c3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-05-09T07:29:35Z",
    "title_canon_sha256": "970790db18199a7d0df3ee52f1dbc518a175167a86a58c9c14ee194f283beec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03473",
    "kind": "arxiv",
    "version": 1
  }
}