Pith Number

pith:4QZ77UIQ

pith:2013:4QZ77UIQHTDC2IS4LTEHU7XCWT

not attested not anchored not stored refs pending

Extremal K\"ahler metrics on projectivised vector bundles

Till Br\"onnle

arxiv:1301.7045 v1 · 2013-01-29 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QZ77UIQHTDC2IS4LTEHU7XCWT}

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	2026-05-18T01:28:15.406254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e433ffd1103cc62d225c5cc87a7ee2b4d007297653fdebb0850e24c7ce3113f0

Aliases

arxiv: 1301.7045 · arxiv_version: 1301.7045v1 · doi: 10.48550/arxiv.1301.7045 · pith_short_12: 4QZ77UIQHTDC · pith_short_16: 4QZ77UIQHTDC2IS4 · pith_short_8: 4QZ77UIQ

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/4QZ77UIQHTDC2IS4LTEHU7XCWT \
  | 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: e433ffd1103cc62d225c5cc87a7ee2b4d007297653fdebb0850e24c7ce3113f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f67b50efb02efb0c7559fea37594f27708ec973fc47e846d0e4fd26ed9b62870",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-29T20:19:27Z",
    "title_canon_sha256": "52d4de6997be076f512a385c9422ce09ad8f739862a174b3cc8df1ef73e783d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7045",
    "kind": "arxiv",
    "version": 1
  }
}