Pith Number

pith:5LEXLBLB

pith:2010:5LEXLBLBUW2GSGXBXIZ7WB72ON

not attested not anchored not stored refs pending

Comments on matter collineations of plane symmetric, cylindrically symmetric and spherically symmetric spacetimes

Asghar Qadir, K. Saifullah

arxiv:1005.1383 v1 · 2010-05-09 · 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{5LEXLBLBUW2GSGXBXIZ7WB72ON}

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	2026-05-18T02:07:35.094379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac9758561a5b4691ae1ba33fb07fa73769e5737612a2c111c809bbc7f7f9f1c

Aliases

arxiv: 1005.1383 · arxiv_version: 1005.1383v1 · doi: 10.48550/arxiv.1005.1383 · pith_short_12: 5LEXLBLBUW2G · pith_short_16: 5LEXLBLBUW2GSGXB · pith_short_8: 5LEXLBLB

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/5LEXLBLBUW2GSGXBXIZ7WB72ON \
  | 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: eac9758561a5b4691ae1ba33fb07fa73769e5737612a2c111c809bbc7f7f9f1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c61b8752b2c88e756fe881dcba0e36ef7fc7cb6022f14028e50243b60e8342f8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-09T11:12:49Z",
    "title_canon_sha256": "023e861fff5d40287336336d2ad2bc1bd4ce2697a658e58f92ab76f184b8a99f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1383",
    "kind": "arxiv",
    "version": 1
  }
}