Pith Number

pith:52D5KKWK

pith:2013:52D5KKWKCHO4HRO45DQPXGXD76

not attested not anchored not stored refs pending

Stability and Fourier-Mukai Transforms on Higher Dimensional Elliptic Fibrations

Jason Lo, Wu-yen Chuang

arxiv:1307.1845 v2 · 2013-07-07 · 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{52D5KKWKCHO4HRO45DQPXGXD76}

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	2026-05-18T01:30:43.497514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee87d52aca11ddc3c5dce8e0fb9ae3ffa93e2f48b5cbb09eabdc2ac4d0c2dac6

Aliases

arxiv: 1307.1845 · arxiv_version: 1307.1845v2 · doi: 10.48550/arxiv.1307.1845 · pith_short_12: 52D5KKWKCHO4 · pith_short_16: 52D5KKWKCHO4HRO4 · pith_short_8: 52D5KKWK

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/52D5KKWKCHO4HRO45DQPXGXD76 \
  | 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: ee87d52aca11ddc3c5dce8e0fb9ae3ffa93e2f48b5cbb09eabdc2ac4d0c2dac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f172007296c53e4380aefa62e5b008db98b93e0283a19da633ff6b58d40989",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-07T10:12:16Z",
    "title_canon_sha256": "8283cb9d989ae62954935da55358ac3b3814a95362bf33f6333fa7ba9bfc78fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1845",
    "kind": "arxiv",
    "version": 2
  }
}