Pith Number

pith:A6Z622WB

pith:2014:A6Z622WBKMP7KK24AKEZXG6J7C

not attested not anchored not stored refs pending

$I$-properness of Mabuchi's $K$-energy

Kai Zheng

arxiv:1410.1821 v1 · 2014-10-07 · math.AP · 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{A6Z622WBKMP7KK24AKEZXG6J7C}

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	2026-05-18T01:29:59.322010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b3ed6ac1531ff52b5c02899b9bc9f8ac478a758e8d9b984077551d41d7dff6

Aliases

arxiv: 1410.1821 · arxiv_version: 1410.1821v1 · doi: 10.48550/arxiv.1410.1821 · pith_short_12: A6Z622WBKMP7 · pith_short_16: A6Z622WBKMP7KK24 · pith_short_8: A6Z622WB

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/A6Z622WBKMP7KK24AKEZXG6J7C \
  | 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: 07b3ed6ac1531ff52b5c02899b9bc9f8ac478a758e8d9b984077551d41d7dff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9240b33aa9796382e2510f3099bfe484ec52b9ef8757a3ca3cf4a6bedf87bc3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-07T17:54:33Z",
    "title_canon_sha256": "297778ba7a819d1bc34bde26dda755023c14fdfbf6ef96cbbe0438520f3fab29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1821",
    "kind": "arxiv",
    "version": 1
  }
}