Pith Number

pith:PSNK4H3Y

pith:2014:PSNK4H3Y352WWZW6XGPWLRUPQM

not attested not anchored not stored refs pending

Spectral properties of unbounded J-self-adjoint matrices

Matthias Langer, Michael Strauss

arxiv:1410.1213 v2 · 2014-10-05 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSNK4H3Y352WWZW6XGPWLRUPQM}

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	2026-05-18T00:48:01.558237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c9aae1f78df756b66deb99f65c68f832fd14873c0f542d15b3309b17cab32c6

Aliases

arxiv: 1410.1213 · arxiv_version: 1410.1213v2 · doi: 10.48550/arxiv.1410.1213 · pith_short_12: PSNK4H3Y352W · pith_short_16: PSNK4H3Y352WWZW6 · pith_short_8: PSNK4H3Y

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/PSNK4H3Y352WWZW6XGPWLRUPQM \
  | 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: 7c9aae1f78df756b66deb99f65c68f832fd14873c0f542d15b3309b17cab32c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73aec0e50faeb6b0501afdb97265ba57b42dd47da5b8cdfb30f023c0a10b39e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-10-05T21:15:30Z",
    "title_canon_sha256": "c095645812b40558c1f1832552e2683cee3f6897c61bb41396412e5c84175110"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1213",
    "kind": "arxiv",
    "version": 2
  }
}