Pith Number

pith:3WK5NAY4

pith:2007:3WK5NAY4GT4TBJREHT3RQ7W6BI

not attested not anchored not stored refs pending

Energy, angular momentum, superenergy and angular supermomentum in conformal frames

Janusz Garecki, Mariusz P. Dabrowski

arxiv:0712.1358 v2 · 2007-12-09 · hep-th · astro-ph · 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{3WK5NAY4GT4TBJREHT3RQ7W6BI}

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	2026-05-18T04:09:04.330872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd95d6831c34f930a6243cf7187ede0a2e52068b30182edbbfd4bcb4595694ac

Aliases

arxiv: 0712.1358 · arxiv_version: 0712.1358v2 · doi: 10.48550/arxiv.0712.1358 · pith_short_12: 3WK5NAY4GT4T · pith_short_16: 3WK5NAY4GT4TBJRE · pith_short_8: 3WK5NAY4

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/3WK5NAY4GT4TBJREHT3RQ7W6BI \
  | 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: dd95d6831c34f930a6243cf7187ede0a2e52068b30182edbbfd4bcb4595694ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eec1d753c2637881cb46120a81810c1c648899dbb49defc999f2ee9923b37341",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-12-09T19:43:26Z",
    "title_canon_sha256": "33c7b817d79fde9ead386dd6e5312170e5bb6eeece1f83298d3d06a0bed90d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1358",
    "kind": "arxiv",
    "version": 2
  }
}