Pith Number

pith:VJLBKG7F

pith:2011:VJLBKG7F4IQQ4PWHJTT327SQED

not attested not anchored not stored refs pending

Energy Content of Colliding Plane Waves using Approximate Noether Symmetries

M. Sharif, Saira Waheed

arxiv:1109.3990 v1 · 2011-09-19 · 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{VJLBKG7F4IQQ4PWHJTT327SQED}

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	2026-05-18T02:00:29.447063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa56151be5e2210e3ec74ce7bd7e5020def49dc465a1cc9b617cdaaec565a9ff

Aliases

arxiv: 1109.3990 · arxiv_version: 1109.3990v1 · doi: 10.48550/arxiv.1109.3990 · pith_short_12: VJLBKG7F4IQQ · pith_short_16: VJLBKG7F4IQQ4PWH · pith_short_8: VJLBKG7F

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/VJLBKG7F4IQQ4PWHJTT327SQED \
  | 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: aa56151be5e2210e3ec74ce7bd7e5020def49dc465a1cc9b617cdaaec565a9ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43693e8772ad289adfde67cb5c80125437a6ab142a15375dc5622ab600c1ca6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-19T10:27:08Z",
    "title_canon_sha256": "ae308b63ccf6e3533eecc84cfb07b22cfc77a17f42c91a46d38b711bf88f5ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3990",
    "kind": "arxiv",
    "version": 1
  }
}