Pith Number

pith:EPD2VBH5

pith:2026:EPD2VBH5B5ZSGR2D4JU5XK5TTU

not attested not anchored not stored refs pending

Steenbrink vanishing theorem for big line bundles

Yuta Watanabe

arxiv:2608.01519 v1 · 2026-08-02 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPD2VBH5B5ZSGR2D4JU5XK5TTU}

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	2026-08-04T02:05:47.846598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23c7aa84fd0f73234743e269dbabb39d0b2253992e8dec597da2b55669d07c30

Aliases

arxiv: 2608.01519 · arxiv_version: 2608.01519v1 · doi: 10.48550/arxiv.2608.01519 · pith_short_12: EPD2VBH5B5ZS · pith_short_16: EPD2VBH5B5ZSGR2D · pith_short_8: EPD2VBH5

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/EPD2VBH5B5ZSGR2D4JU5XK5TTU \
  | 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: 23c7aa84fd0f73234743e269dbabb39d0b2253992e8dec597da2b55669d07c30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf7d4cb1caa4fa70f2550918ecea807181b956081b861ed24d0a9c465dde411",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-08-02T22:15:06Z",
    "title_canon_sha256": "e5591426562fcdf58c66e7dc1abff34458d04bd643a85a4531c5abe91edd56dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01519",
    "kind": "arxiv",
    "version": 1
  }
}