Pith Number

pith:H2I3L2SJ

pith:2012:H2I3L2SJB3TPYQPE2XVOUSGKF2

not attested not anchored not stored refs pending

Deformation and rigidity results for the 2k-Ricci tensor and the 2k-Gauss-Bonnet curvature

Levi Lopes de Lima, Newton Luis Santos, Tiago Ca\'ula

arxiv:1208.1801 v1 · 2012-08-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H2I3L2SJB3TPYQPE2XVOUSGKF2}

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	2026-05-18T03:49:09.918480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e91b5ea490ee6fc41e4d5eaea48ca2e972d62ce8d5a92cc1ffcb334fec78545

Aliases

arxiv: 1208.1801 · arxiv_version: 1208.1801v1 · doi: 10.48550/arxiv.1208.1801 · pith_short_12: H2I3L2SJB3TP · pith_short_16: H2I3L2SJB3TPYQPE · pith_short_8: H2I3L2SJ

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/H2I3L2SJB3TPYQPE2XVOUSGKF2 \
  | 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: 3e91b5ea490ee6fc41e4d5eaea48ca2e972d62ce8d5a92cc1ffcb334fec78545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf82533f3742ff46918a777b1f0da19acc458f8f559c0f4b966b84cbca51f15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-08-09T02:08:09Z",
    "title_canon_sha256": "047ca3226c4e70032506e6edf8534a8b8ac5be165cadf276de7f76bef576fd91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1801",
    "kind": "arxiv",
    "version": 1
  }
}