Pith Number

pith:TOMAEFE7

pith:2026:TOMAEFE7FQCQTUEX5GCQRVWDUJ

not attested not anchored not stored refs pending

Pseudosymmetry, Ricci soliton and Curvature Inheritance symmetries of Friedmann Lema\^itre Robertson Walker spacetime

Absos Ali Shaikh, Kamiruzzaman

arxiv:2606.05207 v1 · 2026-05-25 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOMAEFE7FQCQTUEX5GCQRVWDUJ}

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	2026-06-05T00:13:48.725104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b9802149f2c0509d097e98508d6c3a27fb472e59c1c81180920b05b871d42d1

Aliases

arxiv: 2606.05207 · arxiv_version: 2606.05207v1 · doi: 10.48550/arxiv.2606.05207 · pith_short_12: TOMAEFE7FQCQ · pith_short_16: TOMAEFE7FQCQTUEX · pith_short_8: TOMAEFE7

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/TOMAEFE7FQCQTUEX5GCQRVWDUJ \
  | 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: 9b9802149f2c0509d097e98508d6c3a27fb472e59c1c81180920b05b871d42d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138a8cb214493082502a5da933e66453e1ef80c2be1fe4f6b597a31e6c29e7bf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-05-25T12:33:58Z",
    "title_canon_sha256": "6f1c1bc5d770ee0d0b3e015928c8db589e983dd994500a44310729beddbd48f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05207",
    "kind": "arxiv",
    "version": 1
  }
}