Pith Number

pith:N2WUXLZK

pith:2014:N2WUXLZKF3Z3NI5KOA3ZUCKQNT

not attested not anchored not stored refs pending

Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds

Ruadha\'i Dervan

arxiv:1412.1426 v4 · 2014-12-03 · 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{N2WUXLZKF3Z3NI5KOA3ZUCKQNT}

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	2026-05-18T01:17:01.093443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ead4baf2a2ef3b6a3aa70379a09506ce16b92b2251c2a14e294b052c50c6bad

Aliases

arxiv: 1412.1426 · arxiv_version: 1412.1426v4 · doi: 10.48550/arxiv.1412.1426 · pith_short_12: N2WUXLZKF3Z3 · pith_short_16: N2WUXLZKF3Z3NI5K · pith_short_8: N2WUXLZK

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/N2WUXLZKF3Z3NI5KOA3ZUCKQNT \
  | 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: 6ead4baf2a2ef3b6a3aa70379a09506ce16b92b2251c2a14e294b052c50c6bad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56e1b73ed2eae333548adc3ebbce1856299cd3e266d04e476e2b079682b24dd9",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-03T18:28:57Z",
    "title_canon_sha256": "c6e43591bd826c3240c280e0d7628859bc66f81efee86a3bae44e20feacb9756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1426",
    "kind": "arxiv",
    "version": 4
  }
}