Pith Number

pith:3IWVPXUN

pith:2015:3IWVPXUNLA4DO2SLFMRXSUHOZK

not attested not anchored not stored refs pending

Dilations on locally Hilbert spaces

Dumitru Ga\c{s}par, Nicolae Lupa, P\u{a}storel Ga\c{s}par

arxiv:1504.07756 v1 · 2015-04-29 · 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{3IWVPXUNLA4DO2SLFMRXSUHOZK}

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	2026-05-18T02:17:32.324641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da2d57de8d5838376a4b2b237950eeca9ddab1dde2a9668bb2197262c2c4bf11

Aliases

arxiv: 1504.07756 · arxiv_version: 1504.07756v1 · doi: 10.48550/arxiv.1504.07756 · pith_short_12: 3IWVPXUNLA4D · pith_short_16: 3IWVPXUNLA4DO2SL · pith_short_8: 3IWVPXUN

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/3IWVPXUNLA4DO2SLFMRXSUHOZK \
  | 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: da2d57de8d5838376a4b2b237950eeca9ddab1dde2a9668bb2197262c2c4bf11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f21bc00d3bc41f810e17b2bdd94caf6d7c8d3325409f79b18ab590a06f470605",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-29T08:15:47Z",
    "title_canon_sha256": "f30bf929958d5b895afbcf7d9ec6871b259009a375326161901a112ccf4b141f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07756",
    "kind": "arxiv",
    "version": 1
  }
}