Pith Number

pith:D3LNSVPK

pith:2016:D3LNSVPKAI2G3YYJ5NYQ6FZXWQ

not attested not anchored not stored refs pending

Random nilpotent groups, polycyclic presentations, and Diophantine problems

Albert Garreta, Alexei Miasnikov, Denis Ovchinnikov

arxiv:1612.02651 v1 · 2016-12-08 · 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{D3LNSVPKAI2G3YYJ5NYQ6FZXWQ}

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	2026-05-18T00:55:33.169629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed6d955ea02346de309eb710f1737b41498949a7b015246b44163b357316cb5

Aliases

arxiv: 1612.02651 · arxiv_version: 1612.02651v1 · doi: 10.48550/arxiv.1612.02651 · pith_short_12: D3LNSVPKAI2G · pith_short_16: D3LNSVPKAI2G3YYJ · pith_short_8: D3LNSVPK

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/D3LNSVPKAI2G3YYJ5NYQ6FZXWQ \
  | 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: 1ed6d955ea02346de309eb710f1737b41498949a7b015246b44163b357316cb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70153bc1a9653cf0a6afb8963f656483480c919fc049a07474a1a04615d7cd62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-08T14:11:44Z",
    "title_canon_sha256": "396610571a334bd45f02400dfc676c1d6a2a22b6692c7792b544888c2dd05179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02651",
    "kind": "arxiv",
    "version": 1
  }
}