Pith Number

pith:QRWTSLE4

pith:2015:QRWTSLE4EC27K5GOFRHUBHAONM

not attested not anchored not stored refs pending

Fourier--Mukai partners of elliptic ruled surfaces

Hokuto Uehara

arxiv:1511.06031 v1 · 2015-11-19 · 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{QRWTSLE4EC27K5GOFRHUBHAONM}

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	2026-05-18T01:26:26.385437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

846d392c9c20b5f574ce2c4f409c0e6b38e3a477ed8f737aa4273e56a84bae09

Aliases

arxiv: 1511.06031 · arxiv_version: 1511.06031v1 · doi: 10.48550/arxiv.1511.06031 · pith_short_12: QRWTSLE4EC27 · pith_short_16: QRWTSLE4EC27K5GO · pith_short_8: QRWTSLE4

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/QRWTSLE4EC27K5GOFRHUBHAONM \
  | 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: 846d392c9c20b5f574ce2c4f409c0e6b38e3a477ed8f737aa4273e56a84bae09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bcaa8e2a924dbb51f66be685f545cff2d1ad5106b7d7b01a33276e45af7180b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-19T00:27:25Z",
    "title_canon_sha256": "698e83696216bbfc1d55bd1477d1a5cefb60924a32cc378ed1ee6efe82afe4da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06031",
    "kind": "arxiv",
    "version": 1
  }
}