Pith Number

pith:SFD2VC3N

pith:2016:SFD2VC3NTQYTLS3MQ64UVKD2P7

not attested not anchored not stored refs pending

Low-lying energy bands in a finite periodic multiple-well potential

Dae-Yup Song

arxiv:1608.01052 v1 · 2016-08-03 · 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{SFD2VC3NTQYTLS3MQ64UVKD2P7}

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	2026-05-18T00:37:54.846114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9147aa8b6d9c3135cb6c87b94aa87a7ffa05a5533531da0010080b1bb62252ff

Aliases

arxiv: 1608.01052 · arxiv_version: 1608.01052v1 · doi: 10.48550/arxiv.1608.01052 · pith_short_12: SFD2VC3NTQYT · pith_short_16: SFD2VC3NTQYTLS3M · pith_short_8: SFD2VC3N

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/SFD2VC3NTQYTLS3MQ64UVKD2P7 \
  | 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: 9147aa8b6d9c3135cb6c87b94aa87a7ffa05a5533531da0010080b1bb62252ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3df0bfac44f2a2343c362f3cc858974afef9227eb355203493c4f01250af119a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-08-03T02:04:46Z",
    "title_canon_sha256": "e2544c5e5525c63e28c77029d4753dfa1bf99e9361775275f6c990439a6f5224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01052",
    "kind": "arxiv",
    "version": 1
  }
}