Pith Number

pith:2BXC3DLC

pith:2012:2BXC3DLCC2VTBR4T2EI6PKVKHR

not attested not anchored not stored refs pending

Critical metrics of the $L^2$-norm of the scalar curvature

Giovanni Catino

arxiv:1204.2744 v2 · 2012-04-12 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BXC3DLCC2VTBR4T2EI6PKVKHR}

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	2026-05-18T02:40:47.697778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d06e2d8d6216ab30c793d111e7aaaa3c522c2d70475d2be5d2f0899ec890253e

Aliases

arxiv: 1204.2744 · arxiv_version: 1204.2744v2 · doi: 10.48550/arxiv.1204.2744 · pith_short_12: 2BXC3DLCC2VT · pith_short_16: 2BXC3DLCC2VTBR4T · pith_short_8: 2BXC3DLC

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/2BXC3DLCC2VTBR4T2EI6PKVKHR \
  | 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: d06e2d8d6216ab30c793d111e7aaaa3c522c2d70475d2be5d2f0899ec890253e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b5a1d206b075f93138d2bb5eec3f53ae56b723ae4126bf4cc652fb734952136",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-12T14:48:05Z",
    "title_canon_sha256": "79626df55356980cd06711f2f581df340ec925eef6cd716be222dcc434825e8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2744",
    "kind": "arxiv",
    "version": 2
  }
}