Pith Number

pith:52DZC3QE

pith:2015:52DZC3QETKXZ6JH7N7OPYIYESZ

not attested not anchored not stored refs pending

Klein's "Erlanger Programm": do traces of it exist in physical theories?

Hubert Goenner

arxiv:1510.08319 v1 · 2015-10-28 · physics.hist-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{52DZC3QETKXZ6JH7N7OPYIYESZ}

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	2026-05-18T01:28:36.411795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee87916e049aaf9f24ff6fdcfc2304965b40a2ebaacd24b081f220dd24074944

Aliases

arxiv: 1510.08319 · arxiv_version: 1510.08319v1 · doi: 10.48550/arxiv.1510.08319 · pith_short_12: 52DZC3QETKXZ · pith_short_16: 52DZC3QETKXZ6JH7 · pith_short_8: 52DZC3QE

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/52DZC3QETKXZ6JH7N7OPYIYESZ \
  | 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: ee87916e049aaf9f24ff6fdcfc2304965b40a2ebaacd24b081f220dd24074944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6d35d57549e89e7f6dc29864ce7050a59eb12b0464f7b4c0bdd5c9e246e7c9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2015-10-28T14:27:17Z",
    "title_canon_sha256": "c7a9c1643477a22c523c806f1b7c33f9c918cc7b75ab5047d3bfacb74e4f2ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08319",
    "kind": "arxiv",
    "version": 1
  }
}