Pith Number

pith:RJFUUKO5

pith:2013:RJFUUKO5YAHOLDMNXH6Z75ZJGD

not attested not anchored not stored refs pending

Exceptional points in open and PT symmetric systems

Hichem Eleuch, Ingrid Rotter

arxiv:1311.6320 v2 · 2013-11-25 · math.DS · 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{RJFUUKO5YAHOLDMNXH6Z75ZJGD}

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	2026-05-18T02:52:58.143509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a4b4a29ddc00ee58d8db9fd9ff72930f3c942b437dbf0c6a77b31c673452060

Aliases

arxiv: 1311.6320 · arxiv_version: 1311.6320v2 · doi: 10.48550/arxiv.1311.6320 · pith_short_12: RJFUUKO5YAHO · pith_short_16: RJFUUKO5YAHOLDMN · pith_short_8: RJFUUKO5

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/RJFUUKO5YAHOLDMNXH6Z75ZJGD \
  | 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: 8a4b4a29ddc00ee58d8db9fd9ff72930f3c942b437dbf0c6a77b31c673452060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09538dfc13aff58f5ea0d1ba007ebb217b00114aaab643abea4490d31d474b1",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-25T14:46:32Z",
    "title_canon_sha256": "36d7c55206535f6c8b0f666691ad0efe220d10d27a79daa4e84d790a5a569118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6320",
    "kind": "arxiv",
    "version": 2
  }
}