Pith Number

pith:TMMRRUA6

pith:2012:TMMRRUA6U7QYC3KVVZIQRSWXUD

not attested not anchored not stored refs pending

Comment on "Numerical estimates of the spectrum for anharmonic PT symmetric potentials" by Bowen et al

Carl M. Bender, Stefan Boettcher

arxiv:1210.0426 v1 · 2012-10-01 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMMRRUA6U7QYC3KVVZIQRSWXUD}

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	2026-05-18T00:11:28.397227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b1918d01ea7e1816d55ae5108cad7a0d8ff19737e9c2b4d14228c817080a128

Aliases

arxiv: 1210.0426 · arxiv_version: 1210.0426v1 · doi: 10.48550/arxiv.1210.0426 · pith_short_12: TMMRRUA6U7QY · pith_short_16: TMMRRUA6U7QYC3KV · pith_short_8: TMMRRUA6

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/TMMRRUA6U7QYC3KVVZIQRSWXUD \
  | 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: 9b1918d01ea7e1816d55ae5108cad7a0d8ff19737e9c2b4d14228c817080a128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dceb3de0c267ac3e6da94e2ccad705836105f00f4d344aa519137f81ac5bab0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-01T14:50:43Z",
    "title_canon_sha256": "ef92934ec18e01a81c2ea907fe6c54d93101f2ba3fd4f9d0ac9f1b92552abdee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0426",
    "kind": "arxiv",
    "version": 1
  }
}