Pith Number

pith:GTPR6DOS

pith:2021:GTPR6DOSJC6QCHQOAP756O76XH

not attested not anchored not stored refs pending

A new definition of analytic adjoint ideal sheaves via the residue functions of log-canonical measures I

Tsz On Mario Chan

arxiv:2111.05006 v6 · 2021-11-09 · 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{GTPR6DOSJC6QCHQOAP756O76XH}

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	2026-07-05T06:33:39.275509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34df1f0dd248bd011e0e03ffdf3bfeb9f13cbd12b6a046b17ada628b1515bbb5

Aliases

arxiv: 2111.05006 · arxiv_version: 2111.05006v6 · doi: 10.48550/arxiv.2111.05006 · pith_short_12: GTPR6DOSJC6Q · pith_short_16: GTPR6DOSJC6QCHQO · pith_short_8: GTPR6DOS

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/GTPR6DOSJC6QCHQOAP756O76XH \
  | 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: 34df1f0dd248bd011e0e03ffdf3bfeb9f13cbd12b6a046b17ada628b1515bbb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304c0c6da7dfdd6c2515e2effcc779c6fa74b542f19f422540576d8ba833e7b5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2021-11-09T08:57:33Z",
    "title_canon_sha256": "7234454b9e44edf95e0fb9f30cfa1d0155bf69640e58831e15410a5388ee7d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05006",
    "kind": "arxiv",
    "version": 6
  }
}