Pith Number

pith:E2WJW7LZ

pith:2014:E2WJW7LZIO2OGIP37UQFWDBKHD

not attested not anchored not stored refs pending

Cyclic groups with the same Hodge series

Daryl R. DeFord, Peter G. Doyle

arxiv:1404.2574 v1 · 2014-04-09 · math.RA · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2WJW7LZIO2OGIP37UQFWDBKHD}

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	2026-05-18T02:54:31.176643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ac9b7d7943b4e321fbfd205b0c2a38f57c753f9662261749ae6b3c02d16465

Aliases

arxiv: 1404.2574 · arxiv_version: 1404.2574v1 · doi: 10.48550/arxiv.1404.2574 · pith_short_12: E2WJW7LZIO2O · pith_short_16: E2WJW7LZIO2OGIP3 · pith_short_8: E2WJW7LZ

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/E2WJW7LZIO2OGIP37UQFWDBKHD \
  | 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: 26ac9b7d7943b4e321fbfd205b0c2a38f57c753f9662261749ae6b3c02d16465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6274a22d4466b590a81393e1e8fc8c0ebef92d157e3a2d2023196396364a713e",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-04-09T18:47:44Z",
    "title_canon_sha256": "ea3f47b06a806b1ce941dcdc8ad8eae5aef06fbbb97a3ec3df18c43adb84995f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2574",
    "kind": "arxiv",
    "version": 1
  }
}