Pith Number

pith:G3XWM5D2

pith:2026:G3XWM5D2HZVVISRXYABBMIKTIS

not attested not anchored not stored refs pending

An extension theorem in terms of adjoint ideal sheaves

Tsz On Mario Chan

arxiv:2607.29153 v1 · 2026-07-31 · 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{G3XWM5D2HZVVISRXYABBMIKTIS}

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	2026-08-03T01:20:19.110505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36ef66747a3e6b544a37c00216215344a2133d915f109c27e1a34352cedc0df5

Aliases

arxiv: 2607.29153 · arxiv_version: 2607.29153v1 · doi: 10.48550/arxiv.2607.29153 · pith_short_12: G3XWM5D2HZVV · pith_short_16: G3XWM5D2HZVVISRX · pith_short_8: G3XWM5D2

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/G3XWM5D2HZVVISRXYABBMIKTIS \
  | 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: 36ef66747a3e6b544a37c00216215344a2133d915f109c27e1a34352cedc0df5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad662222c6849f24261e4df4fca172cd5c252e2b7de9015529e2259f5b3ba670",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-07-31T08:35:08Z",
    "title_canon_sha256": "9af410adee471a1514e5f67fd18fd5d8153689a225e69cc4f2eac4b29ea9d21a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29153",
    "kind": "arxiv",
    "version": 1
  }
}