Pith Number

pith:V5W3IXT6

pith:2016:V5W3IXT6J2DAXRVEWL3GKK3UOA

not attested not anchored not stored refs pending

Small doubling in ordered nilpotent groups of class 2

Gregory A. Freiman, Marcel Herzog, Mercede Maj, Patrizia Longobardi, Yonutz V. Stanchescu

arxiv:1605.07126 v1 · 2016-05-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5W3IXT6J2DAXRVEWL3GKK3UOA}

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	2026-05-18T00:08:05.377667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af6db45e7e4e860bc6a4b2f6652b747036d96679011b1eaa70cce35bd9936f1c

Aliases

arxiv: 1605.07126 · arxiv_version: 1605.07126v1 · doi: 10.48550/arxiv.1605.07126 · pith_short_12: V5W3IXT6J2DA · pith_short_16: V5W3IXT6J2DAXRVE · pith_short_8: V5W3IXT6

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/V5W3IXT6J2DAXRVEWL3GKK3UOA \
  | 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: af6db45e7e4e860bc6a4b2f6652b747036d96679011b1eaa70cce35bd9936f1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e320301c8d2262ce8da231240713bb6d3ed602db5c9a7e75bc5d5bcd055b194",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-23T18:25:21Z",
    "title_canon_sha256": "fdc0fc6af22b80894f13746c53669a4618f172415c39a438c4f55ef8eab54aec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07126",
    "kind": "arxiv",
    "version": 1
  }
}