Pith Number

pith:2X5IYW5Q

pith:2011:2X5IYW5QY4VKEPP36SPPQ5STBI

not attested not anchored not stored refs pending

Gravitational Actions in Two Dimensions and the Mabuchi Functional

Frank Ferrari, Semyon Klevtsov, Steve Zelditch

arxiv:1112.1352 v2 · 2011-12-06 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2X5IYW5QY4VKEPP36SPPQ5STBI}

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	2026-05-18T04:00:26.445962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5fa8c5bb0c72aa23dfbf49ef876530a23321949eafb0479f39c32d1d3b473a6

Aliases

arxiv: 1112.1352 · arxiv_version: 1112.1352v2 · doi: 10.48550/arxiv.1112.1352 · pith_short_12: 2X5IYW5QY4VK · pith_short_16: 2X5IYW5QY4VKEPP3 · pith_short_8: 2X5IYW5Q

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/2X5IYW5QY4VKEPP36SPPQ5STBI \
  | 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: d5fa8c5bb0c72aa23dfbf49ef876530a23321949eafb0479f39c32d1d3b473a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3027f65e4f6b7d7aa0b55366e092499cd6c034bb7a2d68740b0d4cefaad5280",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-12-06T17:37:27Z",
    "title_canon_sha256": "c13b6233f3b1bd3d730f95917e1bb98aa9e5ab1fb9163b9d150f293db7293145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1352",
    "kind": "arxiv",
    "version": 2
  }
}