Pith Number

pith:AS27B6H7

pith:2018:AS27B6H7FFWWK4ALRZ6QLK3H4L

not attested not anchored not stored refs pending

A variation on Magnus' theorem and its generalizations

Vered Moskowicz

arxiv:1810.08202 v2 · 2018-10-18 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AS27B6H7FFWWK4ALRZ6QLK3H4L}

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	2026-05-18T00:02:24.547607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b5f0f8ff296d65700b8e7d05ab67e2f2f9656ed7482670d70588c33f127e8b

Aliases

arxiv: 1810.08202 · arxiv_version: 1810.08202v2 · doi: 10.48550/arxiv.1810.08202 · pith_short_12: AS27B6H7FFWW · pith_short_16: AS27B6H7FFWWK4AL · pith_short_8: AS27B6H7

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/AS27B6H7FFWWK4ALRZ6QLK3H4L \
  | 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: 04b5f0f8ff296d65700b8e7d05ab67e2f2f9656ed7482670d70588c33f127e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f8b3a5c2525bd2385f6c95aca3caefe93bc665483f2f57445e418820d65712",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-10-18T17:56:02Z",
    "title_canon_sha256": "0912280fe9562cb139d1730d80269289cdbc31f8bf0ddeb9c4bf7a2890c89dfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08202",
    "kind": "arxiv",
    "version": 2
  }
}