Pith Number

pith:AE4CHRCD

pith:2012:AE4CHRCDCF6HBDDYTO3PKV3TLM

not attested not anchored not stored refs pending

PT-symmetric lattices with spatially extended gain/loss are generically unstable

D.E. Pelinovsky, D.J. Frantzeskakis, P.G. Kevrekidis

arxiv:1211.5815 v1 · 2012-11-25 · nlin.SI · 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{AE4CHRCDCF6HBDDYTO3PKV3TLM}

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	2026-05-18T01:52:55.290391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

013823c443117c708c789bb6f557735b03f941b37c5cc9b2942d4cb4c5843c04

Aliases

arxiv: 1211.5815 · arxiv_version: 1211.5815v1 · doi: 10.48550/arxiv.1211.5815 · pith_short_12: AE4CHRCDCF6H · pith_short_16: AE4CHRCDCF6HBDDY · pith_short_8: AE4CHRCD

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/AE4CHRCDCF6HBDDYTO3PKV3TLM \
  | 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: 013823c443117c708c789bb6f557735b03f941b37c5cc9b2942d4cb4c5843c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dbd7d354a0ef5c08fa927736710c74747ac58167431d20ae5bc2c7e90447e39",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2012-11-25T22:29:25Z",
    "title_canon_sha256": "cd8e055a14d246297df3bbb2441a8b1876e908f0e8f46fc5a4dc82e39f325c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5815",
    "kind": "arxiv",
    "version": 1
  }
}