Pith Number

pith:PCT6FZKW

pith:2016:PCT6FZKWCJDNVGBXYQJV25L3ZA

not attested not anchored not stored refs pending

Variational symmetries as the existence of ignorable coordinates

G.F. Torres del Castillo, I. Rubalcava-Garc\'ia

arxiv:1609.09330 v1 · 2016-09-15 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCT6FZKWCJDNVGBXYQJV25L3ZA}

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	2026-05-18T00:52:33.979515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a7e2e5561246da9837c4135d757bc82c3e8867fd4c294173c360f2d92e56c5

Aliases

arxiv: 1609.09330 · arxiv_version: 1609.09330v1 · doi: 10.48550/arxiv.1609.09330 · pith_short_12: PCT6FZKWCJDN · pith_short_16: PCT6FZKWCJDNVGBX · pith_short_8: PCT6FZKW

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/PCT6FZKWCJDNVGBXYQJV25L3ZA \
  | 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: 78a7e2e5561246da9837c4135d757bc82c3e8867fd4c294173c360f2d92e56c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0579db9aba9bc64a0f70d1ae0cb3368f7bf9a0460688b9493213d4504470bd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2016-09-15T14:17:23Z",
    "title_canon_sha256": "922a6afbbb6154ed274254dd5895fe0fec1162b04affd6aff6e94e842a358ffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09330",
    "kind": "arxiv",
    "version": 1
  }
}