Pith Number

pith:ER47P5T6

pith:2012:ER47P5T6ROVGIVHG5DBVTMSXTE

not attested not anchored not stored refs pending

The numerical range of non-negative operators in Krein spaces

Carsten Trunk, Friedrich Philipp

arxiv:1208.3094 v1 · 2012-08-15 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ER47P5T6ROVGIVHG5DBVTMSXTE}

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	2026-05-18T03:48:45.568773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2479f7f67e8baa6454e6e8c359b2579913dbcce8265651474951c16058c5d6f2

Aliases

arxiv: 1208.3094 · arxiv_version: 1208.3094v1 · doi: 10.48550/arxiv.1208.3094 · pith_short_12: ER47P5T6ROVG · pith_short_16: ER47P5T6ROVGIVHG · pith_short_8: ER47P5T6

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/ER47P5T6ROVGIVHG5DBVTMSXTE \
  | 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: 2479f7f67e8baa6454e6e8c359b2579913dbcce8265651474951c16058c5d6f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb5e525a2ec65c5f7f8a2b43a342ddaba65ce3e480915e0fd5a7024d68a94b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-15T11:22:52Z",
    "title_canon_sha256": "6a55fb061b28b6cd845c9d89a6179a7ade5ff0069891ebfd1f28f49d8ed66b53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3094",
    "kind": "arxiv",
    "version": 1
  }
}