Pith Number

pith:PCUGW2C2

pith:2020:PCUGW2C2ETSGFUUGP6753VX32P

not attested not anchored not stored refs pending

Spectral properties of soft quantum waveguides

Pavel Exner

arxiv:2006.15071 v3 · 2020-06-26 · math.SP · 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{PCUGW2C2ETSGFUUGP6753VX32P}

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	2026-07-05T03:09:56.030067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a86b685a24e462d2867fbfddd6fbd3c635521e01093c1e51305864a8b2756e

Aliases

arxiv: 2006.15071 · arxiv_version: 2006.15071v3 · doi: 10.48550/arxiv.2006.15071 · pith_short_12: PCUGW2C2ETSG · pith_short_16: PCUGW2C2ETSGFUUG · pith_short_8: PCUGW2C2

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/PCUGW2C2ETSGFUUGP6753VX32P \
  | 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: 78a86b685a24e462d2867fbfddd6fbd3c635521e01093c1e51305864a8b2756e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318e1ed38a855ae5ddf93cc05ce61079d2d7a266c15e1b9f8d27884017fb01e0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2020-06-26T16:04:53Z",
    "title_canon_sha256": "558ec33fc68428c410b34d9e0919aa520bd4be6e0b4d7005eb31ab0ec79106a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.15071",
    "kind": "arxiv",
    "version": 3
  }
}