Pith Number

pith:RZJQCWKQ

pith:2017:RZJQCWKQROD6RBQ6Y45GWLXJYF

not attested not anchored not stored refs pending

Order dividing bijective function from non-cyclic to cyclic groups of same finite order

Ashley Chen, Austin Allen, Jessica Ding, Piyush Shroff

arxiv:1706.05045 v1 · 2017-06-15 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZJQCWKQROD6RBQ6Y45GWLXJYF}

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	2026-05-18T00:42:16.863725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e530159508b87e8861ec73a6b2ee9c16044f97c22a95866a7fa751db7bbed6d

Aliases

arxiv: 1706.05045 · arxiv_version: 1706.05045v1 · doi: 10.48550/arxiv.1706.05045 · pith_short_12: RZJQCWKQROD6 · pith_short_16: RZJQCWKQROD6RBQ6 · pith_short_8: RZJQCWKQ

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/RZJQCWKQROD6RBQ6Y45GWLXJYF \
  | 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: 8e530159508b87e8861ec73a6b2ee9c16044f97c22a95866a7fa751db7bbed6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f278dda7afdfac612bd5de00340a89d68c4927a97bd048834e3f3a865717ec10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-15T19:00:23Z",
    "title_canon_sha256": "b48245ddeb564419e1e96cc61047d85fd0390caef4256541fe613217cb0d3f7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05045",
    "kind": "arxiv",
    "version": 1
  }
}