Pith Number

pith:FSACIYHY

pith:2012:FSACIYHYIVJITKDVXQHSMCFLNJ

not attested not anchored not stored refs pending

Hilbert-Schauder Frame Operators

Rui Liu

arxiv:1206.6146 v1 · 2012-06-27 · math.FA · math.CA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSACIYHYIVJITKDVXQHSMCFLNJ}

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	2026-05-18T03:52:27.633025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c802460f8455289a875bc0f2608ab6a6d64c0b23374522a798783c632b06759

Aliases

arxiv: 1206.6146 · arxiv_version: 1206.6146v1 · doi: 10.48550/arxiv.1206.6146 · pith_short_12: FSACIYHYIVJI · pith_short_16: FSACIYHYIVJITKDV · pith_short_8: FSACIYHY

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/FSACIYHYIVJITKDVXQHSMCFLNJ \
  | 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: 2c802460f8455289a875bc0f2608ab6a6d64c0b23374522a798783c632b06759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3c4ee01b8b19c70718a16dcb30627c581574f5979e13687737d6b21b7f9cf8d",
    "cross_cats_sorted": [
      "math.CA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-27T00:29:12Z",
    "title_canon_sha256": "b2f2d96cc8ad2ed83425ec2c88ff750e620e5692ae38cc7ccf1c3dfb30f182b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6146",
    "kind": "arxiv",
    "version": 1
  }
}