Pith Number

pith:7MRBLH4F

pith:2010:7MRBLH4FC6PP2HD6W4C37KHE5S

not attested not anchored not stored refs pending

A remark on the rigidity case of the positive energy theorem

Marc Nardmann

arxiv:1004.5430 v1 · 2010-04-30 · 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{7MRBLH4FC6PP2HD6W4C37KHE5S}

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	2026-05-18T02:24:14.866760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb22159f85179efd1c7eb705bfa8e4ec9d7ccb3455a416c4adbe9fefa4961669

Aliases

arxiv: 1004.5430 · arxiv_version: 1004.5430v1 · doi: 10.48550/arxiv.1004.5430 · pith_short_12: 7MRBLH4FC6PP · pith_short_16: 7MRBLH4FC6PP2HD6 · pith_short_8: 7MRBLH4F

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/7MRBLH4FC6PP2HD6W4C37KHE5S \
  | 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: fb22159f85179efd1c7eb705bfa8e4ec9d7ccb3455a416c4adbe9fefa4961669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e5095e5469be03a755b118cac5622e64121e655f10e86d12c8c728f7605f78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-04-30T00:45:26Z",
    "title_canon_sha256": "e73ac71d9e54f2a78a385e65e7ce6ed69d520a6b14c44e28d070606b6815dea4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5430",
    "kind": "arxiv",
    "version": 1
  }
}