Pith Number

pith:QLYJXM4L

pith:2012:QLYJXM4LRFNRASOJVO7DB5CSP7

not attested not anchored not stored refs pending

Frames, semi-frames, and Hilbert scales

J-P. Antoine, P. Balazs

arxiv:1203.0506 v1 · 2012-03-02 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLYJXM4LRFNRASOJVO7DB5CSP7}

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	2026-05-18T03:43:28.511413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82f09bb38b895b1049c9abbe30f4527ffb78e290fcace7e9b3e2de0ce11fdbe5

Aliases

arxiv: 1203.0506 · arxiv_version: 1203.0506v1 · doi: 10.48550/arxiv.1203.0506 · pith_short_12: QLYJXM4LRFNR · pith_short_16: QLYJXM4LRFNRASOJ · pith_short_8: QLYJXM4L

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/QLYJXM4LRFNRASOJVO7DB5CSP7 \
  | 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: 82f09bb38b895b1049c9abbe30f4527ffb78e290fcace7e9b3e2de0ce11fdbe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff71f89862b3b6069abb26c977b95f4f799bbcaf38bb98e1172c7142ec75b7e2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-02T16:09:39Z",
    "title_canon_sha256": "a9a3126fef155ae377352720460f075f63860a36500b42205131e1a55be8270e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0506",
    "kind": "arxiv",
    "version": 1
  }
}