Pith Number

pith:ZFCYEUOS

pith:2012:ZFCYEUOSUXFAQO75MAJUQ3XAUG

not attested not anchored not stored refs pending

From Quantum $A_N$ to $E_8$ Trigonometric Model: Space-of-Orbits View

Alexander V. Turbiner

arxiv:1210.4515 v4 · 2012-10-16 · math-ph · hep-th · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFCYEUOSUXFAQO75MAJUQ3XAUG}

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	2026-05-18T03:36:15.808733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9458251d2a5ca083bfd6013486ee0a1b89ec9905b79d595987e7a131e4758ab

Aliases

arxiv: 1210.4515 · arxiv_version: 1210.4515v4 · doi: 10.48550/arxiv.1210.4515 · pith_short_12: ZFCYEUOSUXFA · pith_short_16: ZFCYEUOSUXFAQO75 · pith_short_8: ZFCYEUOS

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/ZFCYEUOSUXFAQO75MAJUQ3XAUG \
  | 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: c9458251d2a5ca083bfd6013486ee0a1b89ec9905b79d595987e7a131e4758ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5165fd3491c5e51e47162cf0bd4a3b160a586ea37507fe2ecc6b203b07077b22",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-16T18:17:37Z",
    "title_canon_sha256": "8a2ef30e12355a40364835826c1960070e1efc6190a14993fe8eebd9dbbe8f46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4515",
    "kind": "arxiv",
    "version": 4
  }
}