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Pith Number

pith:AESMT22X

pith:2012:AESMT22XXH5M3F4NSXI4VRKGD6
not attested not anchored not stored refs pending

A framework for invertible, real-time constant-Q transforms

Gino Angelo Velasco, Monika D\"orfler, Nicki Holighaus, Thomas Grill

arxiv:1210.0084 v1 · 2012-09-29 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AESMT22XXH5M3F4NSXI4VRKGD6}

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 2026-05-18T03:25:34.972287Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0124c9eb57b9facd978d95d1cac5461f871e83696bab949ced1f13d7bad6e2a8

Aliases

arxiv: 1210.0084 · arxiv_version: 1210.0084v1 · doi: 10.48550/arxiv.1210.0084 · pith_short_12: AESMT22XXH5M · pith_short_16: AESMT22XXH5M3F4N · pith_short_8: AESMT22X
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AESMT22XXH5M3F4NSXI4VRKGD6 \
  | 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: 0124c9eb57b9facd978d95d1cac5461f871e83696bab949ced1f13d7bad6e2a8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c41f3f53deef5d393aee13b828c7d8e736e04497f6b48d627892c67b2670a4a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-29T06:31:56Z",
    "title_canon_sha256": "07e9c33b952f7ee589c60fdf3cff79784ce762d8b58e1b4edb3c3295afe1f5f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0084",
    "kind": "arxiv",
    "version": 1
  }
}