Pith Number

pith:TLFN4G54

pith:2017:TLFN4G54BW4LTXLJATMKA2L4FH

not attested not anchored not stored refs pending

Classification of the Lie and Noether point symmetries for the Wave and the Klein-Gordon equations in pp-wave spacetimes

A. Paliathanasis, M.T. Mustafa, M. Tsamparlis

arxiv:1706.00978 v1 · 2017-06-03 · math-ph · math.AP · 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{TLFN4G54BW4LTXLJATMKA2L4FH}

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	2026-05-18T00:40:57.436921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9acade1bbc0db8b9dd6904d8a0697c29cfc52129ebbaedeac9631dc41da8d11a

Aliases

arxiv: 1706.00978 · arxiv_version: 1706.00978v1 · doi: 10.48550/arxiv.1706.00978 · pith_short_12: TLFN4G54BW4L · pith_short_16: TLFN4G54BW4LTXLJ · pith_short_8: TLFN4G54

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/TLFN4G54BW4LTXLJATMKA2L4FH \
  | 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: 9acade1bbc0db8b9dd6904d8a0697c29cfc52129ebbaedeac9631dc41da8d11a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e3aac6204725f9af20de841f6e4c39cb1f65fb81d8b27518e3852bb9318b0bb",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-03T16:52:45Z",
    "title_canon_sha256": "723f03be16e1ddfa30652508e2e7cce493cbf61bd2317c229648a631c855d8df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00978",
    "kind": "arxiv",
    "version": 1
  }
}