Pith Number

pith:VD4EE7V2

pith:2016:VD4EE7V2554JKOW5AZD3C2MW3Y

not attested not anchored not stored refs pending

Centralizers in Free Group Algebras and Nonsingular Curves

Nikita Miasnikov

arxiv:1611.03555 v4 · 2016-11-11 · math.RA · math.AG · 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{VD4EE7V2554JKOW5AZD3C2MW3Y}

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	2026-05-18T00:04:32.724603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f8427ebaef78953add0647b16996de21f2d57836b4217d26afe9804777c3fe

Aliases

arxiv: 1611.03555 · arxiv_version: 1611.03555v4 · doi: 10.48550/arxiv.1611.03555 · pith_short_12: VD4EE7V2554J · pith_short_16: VD4EE7V2554JKOW5 · pith_short_8: VD4EE7V2

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/VD4EE7V2554JKOW5AZD3C2MW3Y \
  | 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: a8f8427ebaef78953add0647b16996de21f2d57836b4217d26afe9804777c3fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c022c89690cf216c97597475f7f7ad185b793356950eb2a8da87058d67b90e7d",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-11-11T00:53:44Z",
    "title_canon_sha256": "473fc3724827cf81f31894c1b13d447e1a8a83e6a6b547ecea2fc3d7d74a4a1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03555",
    "kind": "arxiv",
    "version": 4
  }
}