Pith Number

pith:AZKZ7J4B

pith:2015:AZKZ7J4BXA56JDWJHMXC4T5DEP

not attested not anchored not stored refs pending

Position-dependent mass, finite-gap systems, and supersymmetry

Mikhail S. Plyushchay, Rafael Bravo

arxiv:1512.09220 v3 · 2015-12-31 · hep-th · math-ph · math.MP · nlin.SI · 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{AZKZ7J4BXA56JDWJHMXC4T5DEP}

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.

Cited by

1 paper in Pith

Projective Time, Cayley Transformations and the Schwarzian Geometry of the Free Particle--Oscillator Correspondence

Receipt and verification

First computed	2026-05-18T01:14:01.144595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06559fa781b83be48ec93b2e2e4fa323ef63ea40f37ced1c462219a57a28c7d7

Aliases

arxiv: 1512.09220 · arxiv_version: 1512.09220v3 · doi: 10.48550/arxiv.1512.09220 · pith_short_12: AZKZ7J4BXA56 · pith_short_16: AZKZ7J4BXA56JDWJ · pith_short_8: AZKZ7J4B

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/AZKZ7J4BXA56JDWJHMXC4T5DEP \
  | 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: 06559fa781b83be48ec93b2e2e4fa323ef63ea40f37ced1c462219a57a28c7d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "605387ec3a9bf5053f4ec5ad4ff61a5b92807a232e1200b72c46a27828751005",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-31T05:55:09Z",
    "title_canon_sha256": "c0c13d4dca1671d51f2845149e0d7cbf49a46467a7e4adf44e0f003b10d6bfbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09220",
    "kind": "arxiv",
    "version": 3
  }
}