Pith Number

pith:SNUNRW6Y

pith:2013:SNUNRW6YVC4EFKFRIGIGGH6KMQ

not attested not anchored not stored refs pending

Lower bounds on the modified K-energy and complex deformations

Andrew Clarke, Carl Tipler

arxiv:1302.0556 v2 · 2013-02-04 · 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{SNUNRW6YVC4EFKFRIGIGGH6KMQ}

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	2026-05-18T03:07:01.988110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9368d8dbd8a8b842a8b14190631fca642cc2ac6af3007884b695b0c12cbabfe8

Aliases

arxiv: 1302.0556 · arxiv_version: 1302.0556v2 · doi: 10.48550/arxiv.1302.0556 · pith_short_12: SNUNRW6YVC4E · pith_short_16: SNUNRW6YVC4EFKFR · pith_short_8: SNUNRW6Y

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/SNUNRW6YVC4EFKFRIGIGGH6KMQ \
  | 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: 9368d8dbd8a8b842a8b14190631fca642cc2ac6af3007884b695b0c12cbabfe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "239ae0c62b44caaa224351f21d2981fa2d66838eab0a225f9e21157ef06538f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-04T00:16:31Z",
    "title_canon_sha256": "0960060b8b5066dd34dc449079ae15d2d4e57471790bb9d68524b61f49e63384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0556",
    "kind": "arxiv",
    "version": 2
  }
}