Pith Number

pith:BATL4VPZ

pith:2023:BATL4VPZLU64EUXRS26YDBX25E

not attested not anchored not stored refs pending

An application of adjoint ideal sheaves to injectivity and extension theorems

Tsz On Mario Chan, Young-Jun Choi

arxiv:2306.00670 v2 · 2023-06-01 · 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{BATL4VPZLU64EUXRS26YDBX25E}

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	2026-07-05T09:33:24.915205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0826be55f95d3dc252f196bd8186fae9020b6faf1a8ddb3dc71baa63dc1a981e

Aliases

arxiv: 2306.00670 · arxiv_version: 2306.00670v2 · doi: 10.48550/arxiv.2306.00670 · pith_short_12: BATL4VPZLU64 · pith_short_16: BATL4VPZLU64EUXR · pith_short_8: BATL4VPZ

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/BATL4VPZLU64EUXRS26YDBX25E \
  | 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: 0826be55f95d3dc252f196bd8186fae9020b6faf1a8ddb3dc71baa63dc1a981e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54ce5114be07580da0dde7c8061fde26264cec17efd6c890d523e88b82d5c550",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2023-06-01T13:40:03Z",
    "title_canon_sha256": "fab31252c13f952374fe4f6fd01dfac3d1b0e1c07604a16ec0b7be118c374d63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.00670",
    "kind": "arxiv",
    "version": 2
  }
}