Pith Number

pith:M3EQXHYJ

pith:2016:M3EQXHYJBPL2CN2I5ZYSHMFNNT

not attested not anchored not stored refs pending

Preserving torsion orders when embedding into groups with `small' finite presentations

Maurice Chiodo, Michael E. Hill

arxiv:1610.00977 v1 · 2016-10-04 · 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{M3EQXHYJBPL2CN2I5ZYSHMFNNT}

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	2026-05-18T01:03:12.735500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c90b9f090bd7a13748ee7123b0ad6cd3b9dd47dab6a3e2a3b999000591cdf6

Aliases

arxiv: 1610.00977 · arxiv_version: 1610.00977v1 · doi: 10.48550/arxiv.1610.00977 · pith_short_12: M3EQXHYJBPL2 · pith_short_16: M3EQXHYJBPL2CN2I · pith_short_8: M3EQXHYJ

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/M3EQXHYJBPL2CN2I5ZYSHMFNNT \
  | 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: 66c90b9f090bd7a13748ee7123b0ad6cd3b9dd47dab6a3e2a3b999000591cdf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "837d9f2071c6e6f723965f2a45d0126e03b471d8b454b261d9a8bc8b9b75fa08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-04T13:23:38Z",
    "title_canon_sha256": "49236db4a17e096c69911a7e83defc2d0a96fdb93cdeb83f1af080bbacb2efa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00977",
    "kind": "arxiv",
    "version": 1
  }
}