Pith Number

pith:UX6L3FFR

pith:2014:UX6L3FFR7I67MTVHEHTVVIRN5N

not attested not anchored not stored refs pending

Spectral Points of Type $\pi_+$ and Type $\pi_-$ of Closed Operators in Indefinite Inner Product Spaces

Carsten Trunk, Friedrich Philipp

arxiv:1405.2307 v1 · 2014-05-09 · math.SP · 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{UX6L3FFR7I67MTVHEHTVVIRN5N}

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	2026-05-18T02:52:13.148158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5fcbd94b1fa3df64ea721e75aa22deb787c8214720c078ca274256f4b09fe37

Aliases

arxiv: 1405.2307 · arxiv_version: 1405.2307v1 · doi: 10.48550/arxiv.1405.2307 · pith_short_12: UX6L3FFR7I67 · pith_short_16: UX6L3FFR7I67MTVH · pith_short_8: UX6L3FFR

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/UX6L3FFR7I67MTVHEHTVVIRN5N \
  | 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: a5fcbd94b1fa3df64ea721e75aa22deb787c8214720c078ca274256f4b09fe37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7bb12b3b3e0dd9e0d269bbb17498c2d5ec7d4351c064e0a42ec892f4111dd0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-05-09T18:32:21Z",
    "title_canon_sha256": "ef72c7cbf873c4a9a175b11029cf6f9c2dd1f450f460e34ee55030b18d17aa30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2307",
    "kind": "arxiv",
    "version": 1
  }
}