Pith Number

pith:UUZP53DY

pith:2017:UUZP53DY744OK3WMYQUWLSWG7G

not attested not anchored not stored refs pending

The Imani Periodic Functions: Genesis and Preliminary Results

Ronald E. Mickens

arxiv:1708.06630 v1 · 2017-08-20 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUZP53DY744OK3WMYQUWLSWG7G}

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	2026-05-18T00:37:33.021764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a532feec78ff38e56eccc42965cac6f9a742751d8d50e4d1913cb9f1cafd0999

Aliases

arxiv: 1708.06630 · arxiv_version: 1708.06630v1 · doi: 10.48550/arxiv.1708.06630 · pith_short_12: UUZP53DY744O · pith_short_16: UUZP53DY744OK3WM · pith_short_8: UUZP53DY

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/UUZP53DY744OK3WMYQUWLSWG7G \
  | 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: a532feec78ff38e56eccc42965cac6f9a742751d8d50e4d1913cb9f1cafd0999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47709148db78f5f7229391e754f3d6f4076b27b3903daaf48b0133699970ae0d",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-08-20T18:29:30Z",
    "title_canon_sha256": "dbb9b5c7d66f9e902e8f03b0ff9ffd809e1d7dfb8120531072cb3d6cf9132b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06630",
    "kind": "arxiv",
    "version": 1
  }
}