Pith Number

pith:X3PZCGK4

pith:2009:X3PZCGK4OZQO3PVWZRCICNDPVM

not attested not anchored not stored refs pending

Towards boundedness of minimal log discrepancies by Riemann--Roch theorem

Masayuki Kawakita

arxiv:0903.0418 v1 · 2009-03-03 · 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{X3PZCGK4OZQO3PVWZRCICNDPVM}

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	2026-07-04T15:39:00.235831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bedf91195c7660edbeb6cc4481346fab1151cd4d20c9927f8280faeb829202ee

Aliases

arxiv: 0903.0418 · arxiv_version: 0903.0418v1 · doi: 10.48550/arxiv.0903.0418 · pith_short_12: X3PZCGK4OZQO · pith_short_16: X3PZCGK4OZQO3PVW · pith_short_8: X3PZCGK4

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/X3PZCGK4OZQO3PVWZRCICNDPVM \
  | 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: bedf91195c7660edbeb6cc4481346fab1151cd4d20c9927f8280faeb829202ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a0c3fa1e22fdd2e6d37195aaa28e85dd151ddab700f34c88a5a50a6dd256f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-03T01:36:32Z",
    "title_canon_sha256": "35680ceea33862525a77dcb59bcf262e9f8c6bee6d75d7487d014de90e33503f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0418",
    "kind": "arxiv",
    "version": 1
  }
}