Pith Number

pith:MQ5B4OAY

pith:2014:MQ5B4OAYXRN647DBRIU2I3XWZY

not attested not anchored not stored refs pending

Verbal width in anabelian groups

Nikolay Nikolov

arxiv:1401.3552 v2 · 2014-01-15 · 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{MQ5B4OAYXRN647DBRIU2I3XWZY}

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	2026-05-18T01:37:51.346651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

643a1e3818bc5bee7c618a29a46ef6ce29bcb35731efa069aab1cbe1319ef7b2

Aliases

arxiv: 1401.3552 · arxiv_version: 1401.3552v2 · doi: 10.48550/arxiv.1401.3552 · pith_short_12: MQ5B4OAYXRN6 · pith_short_16: MQ5B4OAYXRN647DB · pith_short_8: MQ5B4OAY

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/MQ5B4OAYXRN647DBRIU2I3XWZY \
  | 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: 643a1e3818bc5bee7c618a29a46ef6ce29bcb35731efa069aab1cbe1319ef7b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b475585fa6afa9f416f416480b36ccef4a41ef96d0fb55127855721e35b067",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-01-15T11:47:02Z",
    "title_canon_sha256": "51372f97f9ac9391aad15ce8383a376af8fe7ee95a21ee92c59d2f52318e2773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3552",
    "kind": "arxiv",
    "version": 2
  }
}