Pith Number

pith:HWNUBLN2

pith:2014:HWNUBLN2YEXQR7VJWD32GFETJP

not attested not anchored not stored refs pending

Directional uniformities, periodic points, and entropy

Richard Miles, Thomas Ward

arxiv:1411.5295 v1 · 2014-11-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWNUBLN2YEXQR7VJWD32GFETJP}

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	2026-05-18T01:01:16.197459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d9b40adbac12f08fea9b0f7a314934bc4ef399ee9a7f32b2f6f73f89b3ee83b

Aliases

arxiv: 1411.5295 · arxiv_version: 1411.5295v1 · doi: 10.48550/arxiv.1411.5295 · pith_short_12: HWNUBLN2YEXQ · pith_short_16: HWNUBLN2YEXQR7VJ · pith_short_8: HWNUBLN2

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/HWNUBLN2YEXQR7VJWD32GFETJP \
  | 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: 3d9b40adbac12f08fea9b0f7a314934bc4ef399ee9a7f32b2f6f73f89b3ee83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6167aabf98fdb8219caa0ac925ae87df0b56053195310519a9ffd8496979c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-19T17:36:56Z",
    "title_canon_sha256": "2da7826d4df5d3db44bf982075941a630be353f4b12e50d6d215a3c5b1451cba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5295",
    "kind": "arxiv",
    "version": 1
  }
}