Pith Number

pith:GIJ2LLLA

pith:2010:GIJ2LLLAKSYQRVMO6PXZWD6HH5

not attested not anchored not stored refs pending

Euler-Bessel and Euler-Fourier Transforms

Michael Robinson, Robert Ghrist

arxiv:1011.4494 v1 · 2010-11-19 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIJ2LLLAKSYQRVMO6PXZWD6HH5}

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	2026-05-18T02:04:43.260617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3213a5ad6054b108d58ef3ef9b0fc73f606e7babd85b259b01dd951e139f6c09

Aliases

arxiv: 1011.4494 · arxiv_version: 1011.4494v1 · doi: 10.48550/arxiv.1011.4494 · pith_short_12: GIJ2LLLAKSYQ · pith_short_16: GIJ2LLLAKSYQRVMO · pith_short_8: GIJ2LLLA

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/GIJ2LLLAKSYQRVMO6PXZWD6HH5 \
  | 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: 3213a5ad6054b108d58ef3ef9b0fc73f606e7babd85b259b01dd951e139f6c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c455adca0ea2fb756de19fbc5845ebaf65776906a4e7f9c5470a36a9dbee4df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-11-19T18:48:10Z",
    "title_canon_sha256": "5635cc051a452d2a9ab213686c91db58f6b23d61c6a43affd0b8776c841953cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4494",
    "kind": "arxiv",
    "version": 1
  }
}