Pith Number

pith:P6BZE7PW

pith:2007:P6BZE7PW26UPQIWDNBI3UDOFXE

not attested not anchored not stored refs pending

An angular momentum bound at null infinity

Paul Tod, Piotr T. Chru\'sciel

arxiv:0706.4057 v1 · 2007-06-27 · 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{P6BZE7PW26UPQIWDNBI3UDOFXE}

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	2026-05-18T01:05:14.171686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f83927df6d7a8f822c36851ba0dc5b93426193a6939606901c98f2a477c604e

Aliases

arxiv: 0706.4057 · arxiv_version: 0706.4057v1 · doi: 10.48550/arxiv.0706.4057 · pith_short_12: P6BZE7PW26UP · pith_short_16: P6BZE7PW26UPQIWD · pith_short_8: P6BZE7PW

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/P6BZE7PW26UPQIWDNBI3UDOFXE \
  | 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: 7f83927df6d7a8f822c36851ba0dc5b93426193a6939606901c98f2a477c604e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31eb3dc72973e39a9a12ad51d5c646c667fd905ecd3faf20d22fffd782a8bb81",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-06-27T15:49:39Z",
    "title_canon_sha256": "3209d55bc60f91bc5c673fe5432f3e8a3ec8e45f98726578ecc9cf19fcf05eb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.4057",
    "kind": "arxiv",
    "version": 1
  }
}