Pith Number

pith:YL64LDPG

pith:2014:YL64LDPGHRZI5X5PEFDDFMW66Y

not attested not anchored not stored refs pending

Eigenvalues collision for PT-symmetric waveguide

D. Borisov

arxiv:1401.6316 v1 · 2014-01-24 · math.SP · math-ph · math.AP · 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{YL64LDPGHRZI5X5PEFDDFMW66Y}

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	2026-05-18T03:01:12.501699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2fdc58de63c728edfaf214632b2def62d6d6ae8d889194b7666c23eb558673e

Aliases

arxiv: 1401.6316 · arxiv_version: 1401.6316v1 · doi: 10.48550/arxiv.1401.6316 · pith_short_12: YL64LDPGHRZI · pith_short_16: YL64LDPGHRZI5X5P · pith_short_8: YL64LDPG

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/YL64LDPGHRZI5X5PEFDDFMW66Y \
  | 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: c2fdc58de63c728edfaf214632b2def62d6d6ae8d889194b7666c23eb558673e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e164483c4da42623a6c7e4869bc6c4cff73fe5d5e76b07ee72a5bca56f297d91",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-01-24T11:30:41Z",
    "title_canon_sha256": "0230fb771f74cbf5bd720da48cda7ef82fc5a5941d6d54a40ea23a4aa787c8a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6316",
    "kind": "arxiv",
    "version": 1
  }
}