Pith Number

pith:ILTHQZAO

pith:2019:ILTHQZAOKDS7X4QFADVGPTRIYW

not attested not anchored not stored refs pending

The Hanna Neumann conjecture for Demushkin Groups

Andrei Jaikin-Zapirain, Mark Shusterman

arxiv:1904.02258 v1 · 2019-04-03 · math.GR · 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{ILTHQZAOKDS7X4QFADVGPTRIYW}

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	2026-05-17T23:49:24.075096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e678640e50e5fbf20500ea67ce28c5a83e205078eab6e1463b051e42c210e1

Aliases

arxiv: 1904.02258 · arxiv_version: 1904.02258v1 · doi: 10.48550/arxiv.1904.02258 · pith_short_12: ILTHQZAOKDS7 · pith_short_16: ILTHQZAOKDS7X4QF · pith_short_8: ILTHQZAO

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/ILTHQZAOKDS7X4QFADVGPTRIYW \
  | 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: 42e678640e50e5fbf20500ea67ce28c5a83e205078eab6e1463b051e42c210e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f6e61cccdc8108421bec4ad00279f5c314827fcdce8e840a756f7af23b1888c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-04-03T22:24:22Z",
    "title_canon_sha256": "68343041f7cf8d38b6cde4b080fa5467afb2091b5addabcfb94d31aba07a3874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02258",
    "kind": "arxiv",
    "version": 1
  }
}