Pith Number

pith:674JUVVQ

pith:2015:674JUVVQCXJLVWZ3HJSONGHG6X

not attested not anchored not stored refs pending

Autoequivalences of derived categories of elliptic surfaces with non-zero Kodaira dimension

Hokuto Uehara

arxiv:1501.06657 v2 · 2015-01-27 · 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{674JUVVQCXJLVWZ3HJSONGHG6X}

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	2026-05-18T01:26:31.716733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f89a56b015d2badb3b3a64e698e6f5f910e444de8a7528e4a686f211e85c25

Aliases

arxiv: 1501.06657 · arxiv_version: 1501.06657v2 · doi: 10.48550/arxiv.1501.06657 · pith_short_12: 674JUVVQCXJL · pith_short_16: 674JUVVQCXJLVWZ3 · pith_short_8: 674JUVVQ

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/674JUVVQCXJLVWZ3HJSONGHG6X \
  | 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: f7f89a56b015d2badb3b3a64e698e6f5f910e444de8a7528e4a686f211e85c25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaf35c65f7a90afd3198f343ea8593e581fd587c2030fa2b55cd519a7af6ede8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-27T05:15:58Z",
    "title_canon_sha256": "19eb3f3f59e99d235ce36147c7e4a86c2cf8c227422f9e348017aff74ccefb04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06657",
    "kind": "arxiv",
    "version": 2
  }
}