Pith Number

pith:SCKC5M6D

pith:2014:SCKC5M6DSLCDFSSYSLW6MWHUCU

not attested not anchored not stored refs pending

Multiply Degenerate Exceptional Points and Quantum Phase Transitions

Denis I. Borisov, Frantisek Ruzicka, Miloslav Znojil

arxiv:1412.6634 v1 · 2014-12-20 · quant-ph · gr-qc · 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{SCKC5M6DSLCDFSSYSLW6MWHUCU}

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

Hypergeometric Functions of Nilpotent Operators: Functional Collapse and Structural Depth at Exceptional Points

Receipt and verification

First computed	2026-05-18T01:27:46.421054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90942eb3c392c432ca5892ede658f4151540d2aff63dfc41d79ac34b18fd3362

Aliases

arxiv: 1412.6634 · arxiv_version: 1412.6634v1 · doi: 10.48550/arxiv.1412.6634 · pith_short_12: SCKC5M6DSLCD · pith_short_16: SCKC5M6DSLCDFSSY · pith_short_8: SCKC5M6D

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/SCKC5M6DSLCDFSSYSLW6MWHUCU \
  | 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: 90942eb3c392c432ca5892ede658f4151540d2aff63dfc41d79ac34b18fd3362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "946a6d429167f98c8fe202f78e002223e0ad8b3270939248dd2cbde8bcc54279",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-12-20T08:31:12Z",
    "title_canon_sha256": "03145b89c0250f2cc97eca1dbc285ac42aa980d3594ba56a19d70fcf97f84a30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6634",
    "kind": "arxiv",
    "version": 1
  }
}