Pith Number

pith:I62PQHMK

pith:2012:I62PQHMK5KJQ73ZOVP2PSWG2UO

not attested not anchored not stored refs pending

Discrete Fourier Analysis and Chebyshev Polynomials with $G_2$ Group

Huiyuan Li, Jiachang Sun, Yuan Xu

arxiv:1204.4501 v2 · 2012-04-19 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I62PQHMK5KJQ73ZOVP2PSWG2UO}

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	2026-05-18T03:44:13.536196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47b4f81d8aea930fef2eabf4f958daa3b34ccdae1bfefc75ccf96f153bed661b

Aliases

arxiv: 1204.4501 · arxiv_version: 1204.4501v2 · doi: 10.48550/arxiv.1204.4501 · pith_short_12: I62PQHMK5KJQ · pith_short_16: I62PQHMK5KJQ73ZO · pith_short_8: I62PQHMK

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/I62PQHMK5KJQ73ZOVP2PSWG2UO \
  | 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: 47b4f81d8aea930fef2eabf4f958daa3b34ccdae1bfefc75ccf96f153bed661b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d172b64faed7d211d6fdf2dedce29778edec55df1a8adee1ee54825b6978546",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-04-19T23:46:42Z",
    "title_canon_sha256": "ae91c1158316084c61952f44569e4ad586927bbd14874301f74533127c04654a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4501",
    "kind": "arxiv",
    "version": 2
  }
}