Pith Number

pith:6VVUF7DJ

pith:2014:6VVUF7DJWFCPOIIO5X3DYLRGGO

not attested not anchored not stored refs pending

A positive mass theorem for low-regularity Riemannian metrics

James D.E. Grant, Nathalie Tassotti

arxiv:1408.6425 v1 · 2014-08-27 · math.DG · gr-qc · 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{6VVUF7DJWFCPOIIO5X3DYLRGGO}

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	2026-05-18T02:44:07.561210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f56b42fc69b144f7210eedf63c2e26338df73a29c7ea0670f5e0cebe52c8bd7f

Aliases

arxiv: 1408.6425 · arxiv_version: 1408.6425v1 · doi: 10.48550/arxiv.1408.6425 · pith_short_12: 6VVUF7DJWFCP · pith_short_16: 6VVUF7DJWFCPOIIO · pith_short_8: 6VVUF7DJ

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/6VVUF7DJWFCPOIIO5X3DYLRGGO \
  | 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: f56b42fc69b144f7210eedf63c2e26338df73a29c7ea0670f5e0cebe52c8bd7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "979241dfa12e6cea67ffa4f32f33488e842d2da9b42026981b912242495c70a3",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-27T14:44:46Z",
    "title_canon_sha256": "1ea68cb6b9d0000dc99c9750961c95e0bdcb3925f9da5cb047601b6e1b48a43b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6425",
    "kind": "arxiv",
    "version": 1
  }
}