Pith Number

pith:I5HGYGH4

pith:2011:I5HGYGH4PBVGJLYGEBHCR7XYG5

not attested not anchored not stored refs pending

Extremal Kaehler Metrics and Bach-Merkulov Equations

Caner Koca

arxiv:1112.4177 v1 · 2011-12-18 · 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{I5HGYGH4PBVGJLYGEBHCR7XYG5}

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	2026-05-18T04:06:06.894309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

474e6c18fc786a64af06204e28fef83761c991030738786f0cfa0536cf14d5ff

Aliases

arxiv: 1112.4177 · arxiv_version: 1112.4177v1 · doi: 10.48550/arxiv.1112.4177 · pith_short_12: I5HGYGH4PBVG · pith_short_16: I5HGYGH4PBVGJLYG · pith_short_8: I5HGYGH4

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/I5HGYGH4PBVGJLYGEBHCR7XYG5 \
  | 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: 474e6c18fc786a64af06204e28fef83761c991030738786f0cfa0536cf14d5ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45cde239be43628b6d50a32f3ac73d2085781e9679272ec8ecd5efb4c34bfef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-18T19:17:56Z",
    "title_canon_sha256": "bcdc82bd0974fa9d8f2022713542a2bd6eedbb847395d46a30aa12455735abce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4177",
    "kind": "arxiv",
    "version": 1
  }
}