Pith Number

pith:HXENP4MU

pith:2014:HXENP4MUWAVJNIUO4WQL5JRUJW

not attested not anchored not stored refs pending

Holomorphic Line Bundles over a Tower of Coverings

Junyan Zhu, Yuan Yuan

arxiv:1410.1957 v2 · 2014-10-08 · math.CV · math.DG · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXENP4MUWAVJNIUO4WQL5JRUJW}

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	2026-05-18T02:39:47.776153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dc8d7f194b02a96a28ee5a0bea6344d852d2a9eb19b9505cc486a33b4796104

Aliases

arxiv: 1410.1957 · arxiv_version: 1410.1957v2 · doi: 10.48550/arxiv.1410.1957 · pith_short_12: HXENP4MUWAVJ · pith_short_16: HXENP4MUWAVJNIUO · pith_short_8: HXENP4MU

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/HXENP4MUWAVJNIUO4WQL5JRUJW \
  | 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: 3dc8d7f194b02a96a28ee5a0bea6344d852d2a9eb19b9505cc486a33b4796104

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e7eb2bbc09e09ea4fe9f3fba405c3b9a625b6238e115e462237367ea304c9e8",
    "cross_cats_sorted": [
      "math.DG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-10-08T00:58:15Z",
    "title_canon_sha256": "21a78aad6f1b1415309ab9cb82731ed80a60b55909c315db4e85a5a52f9fc81c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1957",
    "kind": "arxiv",
    "version": 2
  }
}