Pith Number

pith:KPRIHFND

pith:2015:KPRIHFNDIXWBW25UOUQKMWLTJI

not attested not anchored not stored refs pending

Convexity of the extended K-energy and the large time behaviour of the weak Calabi flow

Chinh H. Lu, Robert J. Berman, Tam\'as Darvas

arxiv:1510.01260 v2 · 2015-10-05 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPRIHFNDIXWBW25UOUQKMWLTJI}

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	2026-05-18T00:21:00.155461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53e28395a345ec1b6bb47520a659734a3f943bd8f90a76abe245e00afd504f49

Aliases

arxiv: 1510.01260 · arxiv_version: 1510.01260v2 · doi: 10.48550/arxiv.1510.01260 · pith_short_12: KPRIHFNDIXWB · pith_short_16: KPRIHFNDIXWBW25U · pith_short_8: KPRIHFND

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/KPRIHFNDIXWBW25UOUQKMWLTJI \
  | 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: 53e28395a345ec1b6bb47520a659734a3f943bd8f90a76abe245e00afd504f49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d6c7c9df7ea5158c004e696d63d1be3fbcf51de1812e68fa47f1b2eb3422c1d",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-05T17:57:51Z",
    "title_canon_sha256": "7f447159d74ce2a17273bfce277da446c1da6174707f4efb9de0ca9a1fe06411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01260",
    "kind": "arxiv",
    "version": 2
  }
}