Pith Number

pith:E4XY67WS

pith:2021:E4XY67WSGQTWD32HWSC2NEB4KW

not attested not anchored not stored refs pending

Adaptive Fourier decomposition of slice regular functions

Guangbin Ren, Ieng Tak Leong, Ming Jin, Tao Qian

arxiv:2108.00157 v2 · 2021-07-31 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4XY67WSGQTWD32HWSC2NEB4KW}

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	2026-07-05T03:15:11.334601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

272f8f7ed2342761ef47b485a6903c558b4d3810ae7db52ff2ab6be310e7b05b

Aliases

arxiv: 2108.00157 · arxiv_version: 2108.00157v2 · doi: 10.48550/arxiv.2108.00157 · pith_short_12: E4XY67WSGQTW · pith_short_16: E4XY67WSGQTWD32H · pith_short_8: E4XY67WS

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/E4XY67WSGQTWD32HWSC2NEB4KW \
  | 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: 272f8f7ed2342761ef47b485a6903c558b4d3810ae7db52ff2ab6be310e7b05b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f00c1f8c5dd4d0b2f189a975d0e64c2dec15be8f202b16157ba06bd60e59ee",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2021-07-31T05:59:36Z",
    "title_canon_sha256": "819ae62818b9d5c06c651e61f4e57dc928628e56b98c58505ea56ceda8c82caa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.00157",
    "kind": "arxiv",
    "version": 2
  }
}