Pith Number

pith:TOPINRLL

pith:2010:TOPINRLLYZSHCDDIPZVEFCUS5U

not attested not anchored not stored refs pending

Approximate twistors and positive mass

Juan A. Valiente Kroon, Thomas B\"ackdahl

arxiv:1011.3712 v2 · 2010-11-16 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOPINRLLYZSHCDDIPZVEFCUS5U}

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	2026-05-18T04:20:23.236201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b9e86c56bc664710c687e6a428a92ed0b8b0588cee4fb233bcc20579efc886f

Aliases

arxiv: 1011.3712 · arxiv_version: 1011.3712v2 · doi: 10.48550/arxiv.1011.3712 · pith_short_12: TOPINRLLYZSH · pith_short_16: TOPINRLLYZSHCDDI · pith_short_8: TOPINRLL

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/TOPINRLLYZSHCDDIPZVEFCUS5U \
  | 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: 9b9e86c56bc664710c687e6a428a92ed0b8b0588cee4fb233bcc20579efc886f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eef0cf1b9d4f33af35bb8c9d557aad1bf1ca0ab2b21c102405d3daa58d3f67d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-16T14:49:52Z",
    "title_canon_sha256": "bfafcfcedfd2265b834b36efd8561710a08165fbbd3b2cf87d5fa36e380f040b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3712",
    "kind": "arxiv",
    "version": 2
  }
}