Pith Number

pith:HJTGFI2R

pith:2011:HJTGFI2RB25SQAOZT6TZNXEIT7

not attested not anchored not stored refs pending

A New Viewpoint to the Discrete Approximation: Discrete Yang-Fourier Transforms of Discrete-time Fractal Signal

Xiao-Jun Yang

arxiv:1107.1126 v2 · 2011-07-06 · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJTGFI2RB25SQAOZT6TZNXEIT7}

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	2026-05-18T04:17:02.247066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a6662a3510ebb2801d99fa796dc889fe1efb5802e974a0ef0894ff532b6ea10

Aliases

arxiv: 1107.1126 · arxiv_version: 1107.1126v2 · doi: 10.48550/arxiv.1107.1126 · pith_short_12: HJTGFI2RB25S · pith_short_16: HJTGFI2RB25SQAOZ · pith_short_8: HJTGFI2R

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/HJTGFI2RB25SQAOZT6TZNXEIT7 \
  | 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: 3a6662a3510ebb2801d99fa796dc889fe1efb5802e974a0ef0894ff532b6ea10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e99f5af26b7f55d5d40b052534ea072ebeeebebe73f78f558311b4bc59baa8c4",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-06T13:21:42Z",
    "title_canon_sha256": "d647ac4595f28466fb8384fea4890cf2fc65d971bf6216e08e7089448e641aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1126",
    "kind": "arxiv",
    "version": 2
  }
}