Pith Number

pith:VHCB4O2F

pith:2017:VHCB4O2FWXTRWUQC4WVDDFSGP7

not attested not anchored not stored refs pending

Duality for Frames in Krein Spaces

A. Maestripieri, Francisco Mart\'inez Per\'ia, J. I. Giribet

arxiv:1703.03660 v1 · 2017-03-10 · 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{VHCB4O2FWXTRWUQC4WVDDFSGP7}

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	2026-05-18T00:48:58.408740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c41e3b45b5e71b5202e5aa3196467febfabdd2697b6ab05be2c1c588d9413f

Aliases

arxiv: 1703.03660 · arxiv_version: 1703.03660v1 · doi: 10.48550/arxiv.1703.03660 · pith_short_12: VHCB4O2FWXTR · pith_short_16: VHCB4O2FWXTRWUQC · pith_short_8: VHCB4O2F

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/VHCB4O2FWXTRWUQC4WVDDFSGP7 \
  | 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: a9c41e3b45b5e71b5202e5aa3196467febfabdd2697b6ab05be2c1c588d9413f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8baea10b5f69c3c9f4e58f342c2c012aa0b4d07b1b90a2a52184aa1e86ba00e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-10T12:47:18Z",
    "title_canon_sha256": "a04cd8cf4a47d5dac98af44c0375a1023e38be3a1c153786f994bd191d62b8c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03660",
    "kind": "arxiv",
    "version": 1
  }
}