Pith Number

pith:PGY4ANBL

pith:2012:PGY4ANBLHQDDGV7BC7MFXJ2A4J

not attested not anchored not stored refs pending

Local spectral theory for normal operators in Krein spaces

Carsten Trunk, Friedrich Philipp, Vladimir Strauss

arxiv:1204.1479 v1 · 2012-04-06 · 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{PGY4ANBLHQDDGV7BC7MFXJ2A4J}

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	2026-05-18T03:58:25.444905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b1c0342b3c063357e117d85ba740e248970ac072bacfb3bb5b57a035d6f084

Aliases

arxiv: 1204.1479 · arxiv_version: 1204.1479v1 · doi: 10.48550/arxiv.1204.1479 · pith_short_12: PGY4ANBLHQDD · pith_short_16: PGY4ANBLHQDDGV7B · pith_short_8: PGY4ANBL

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/PGY4ANBLHQDDGV7BC7MFXJ2A4J \
  | 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: 79b1c0342b3c063357e117d85ba740e248970ac072bacfb3bb5b57a035d6f084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69777a2a1c6c48e9ac187f70832862fee95182a924603b4b3eede2881409c226",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-04-06T14:01:15Z",
    "title_canon_sha256": "b618dbc38975d49e61a7f0fec754ff48d10e642536e0ca88ab344be4981b2818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1479",
    "kind": "arxiv",
    "version": 1
  }
}