Pith Number

pith:PKCHZEL7

pith:2012:PKCHZEL7N3ALBDBE7HZNUTTK3W

not attested not anchored not stored refs pending

Variation of complex structures and the stability of K\"ahler-Ricci Solitons

Stuart James Hall, Thomas Murphy

arxiv:1206.4922 v2 · 2012-06-21 · 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{PKCHZEL7N3ALBDBE7HZNUTTK3W}

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	2026-05-18T01:22:26.555214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a847c917f6ec0b08c24f9f2da4e6add8c31a5f5bd9911d0e52f00b9af43edf2

Aliases

arxiv: 1206.4922 · arxiv_version: 1206.4922v2 · doi: 10.48550/arxiv.1206.4922 · pith_short_12: PKCHZEL7N3AL · pith_short_16: PKCHZEL7N3ALBDBE · pith_short_8: PKCHZEL7

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/PKCHZEL7N3ALBDBE7HZNUTTK3W \
  | 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: 7a847c917f6ec0b08c24f9f2da4e6add8c31a5f5bd9911d0e52f00b9af43edf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd9077295bfdd764086e7ceec06fdbbf0f1234c9cbacc7d56c9df230eaac37c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-21T16:03:03Z",
    "title_canon_sha256": "9d5a50abc0ed1504967cd940fa7125d7896f96d54a963efa63d135367f17a5ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4922",
    "kind": "arxiv",
    "version": 2
  }
}