Pith Number

pith:JE44MLK3

pith:2011:JE44MLK3L6QYUFX4MV2CKRBVTC

not attested not anchored not stored refs pending

Deformation of extremal metrics, complex manifolds and the relative Futaki invariant

Carl Tipler, Santiago R. Simanca, Yann Rollin

arxiv:1107.0456 v4 · 2011-07-03 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JE44MLK3L6QYUFX4MV2CKRBVTC}

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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	2026-05-18T03:34:35.902695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4939c62d5b5fa18a16fc65742544359899175415e4a3a2afb50024f7f77488e3

Aliases

arxiv: 1107.0456 · arxiv_version: 1107.0456v4 · doi: 10.48550/arxiv.1107.0456 · pith_short_12: JE44MLK3L6QY · pith_short_16: JE44MLK3L6QYUFX4 · pith_short_8: JE44MLK3

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/JE44MLK3L6QYUFX4MV2CKRBVTC \
  | 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: 4939c62d5b5fa18a16fc65742544359899175415e4a3a2afb50024f7f77488e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a0634db9dd3ad4b0680ad6725f1ad81a29e920d69b8078573a21b23baf7807a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-03T12:59:00Z",
    "title_canon_sha256": "052e93262629d65bc9975e17afa9c2c5b2e2196299dff492cfeab2555a0604f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0456",
    "kind": "arxiv",
    "version": 4
  }
}