Pith Number

pith:2I64BY3D

pith:2012:2I64BY3D6R2SKXYQCZ7OXSIL77

not attested not anchored not stored refs pending

Coherent States for Tremblay-Turbiner-Winternitz Potential

Nuri Unal, Yusuf Sucu

arxiv:1212.0078 v1 · 2012-12-01 · math-ph · math.MP · quant-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{2I64BY3D6R2SKXYQCZ7OXSIL77}

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	2026-05-18T03:39:27.374900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d23dc0e363f475255f10167eebc90bffeb2a1b7e807586c7f8a0c9cf6b4a316a

Aliases

arxiv: 1212.0078 · arxiv_version: 1212.0078v1 · doi: 10.48550/arxiv.1212.0078 · pith_short_12: 2I64BY3D6R2S · pith_short_16: 2I64BY3D6R2SKXYQ · pith_short_8: 2I64BY3D

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/2I64BY3D6R2SKXYQCZ7OXSIL77 \
  | 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: d23dc0e363f475255f10167eebc90bffeb2a1b7e807586c7f8a0c9cf6b4a316a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "651a68a0f985bc58b284c17247039faca52596e4c7a6827e71aca06805f08044",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-01T07:19:04Z",
    "title_canon_sha256": "95134beff9f7961cf35f7eb80a72cce8944fb3b548bd2a29b3e5270408305079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0078",
    "kind": "arxiv",
    "version": 1
  }
}