Pith Number

pith:ERMOKZLI

pith:2011:ERMOKZLIPPTJMWZGAD2FD76YQY

not attested not anchored not stored refs pending

Lie and Noether symmetries of geodesic equations and collineations

Andronikos Paliathanasis, Michael Tsamparlis

arxiv:1101.5769 v1 · 2011-01-30 · 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{ERMOKZLIPPTJMWZGAD2FD76YQY}

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	2026-05-18T04:30:24.839376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2458e565687be6965b2600f451ffd88634050b26f0b489c8889a60f1f4c43620

Aliases

arxiv: 1101.5769 · arxiv_version: 1101.5769v1 · doi: 10.48550/arxiv.1101.5769 · pith_short_12: ERMOKZLIPPTJ · pith_short_16: ERMOKZLIPPTJMWZG · pith_short_8: ERMOKZLI

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/ERMOKZLIPPTJMWZGAD2FD76YQY \
  | 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: 2458e565687be6965b2600f451ffd88634050b26f0b489c8889a60f1f4c43620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1cae0085aecc86ac97e401b8e4fe310ac5c144c9192641a08e27beb54431e49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-01-30T13:35:25Z",
    "title_canon_sha256": "f0c0c2cf908edc8d4733a3b482b2e2109504a2da3fbfbf33b991dc47fbbbc079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5769",
    "kind": "arxiv",
    "version": 1
  }
}