Pith Number

pith:O5BERQB5

pith:2019:O5BERQB5ZYV5WBK64K2RJ37YFQ

not attested not anchored not stored refs pending

The geometry of groups containing almost normal subgroups

Alexander Margolis

arxiv:1905.03062 v1 · 2019-05-08 · 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{O5BERQB5ZYV5WBK64K2RJ37YFQ}

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.

Cited by

1 paper in Pith

Groups of cohomological codimension one

Receipt and verification

First computed	2026-07-05T03:13:59.976632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

774248c03dce2bdb055ee2b514eff82c22e8daed55367bcdf75b6448baaaf603

Aliases

arxiv: 1905.03062 · arxiv_version: 1905.03062v1 · doi: 10.48550/arxiv.1905.03062 · pith_short_12: O5BERQB5ZYV5 · pith_short_16: O5BERQB5ZYV5WBK6 · pith_short_8: O5BERQB5

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/O5BERQB5ZYV5WBK64K2RJ37YFQ \
  | 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: 774248c03dce2bdb055ee2b514eff82c22e8daed55367bcdf75b6448baaaf603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b740dc0f36cb8d62b6c2adda673d3b2a48e1b55889f1703d0c63a4d1ba51023",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-05-08T13:23:14Z",
    "title_canon_sha256": "60f66c7b58646de786bf81ee20397f2c8ac1bc96b469f7b491181070abc84611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03062",
    "kind": "arxiv",
    "version": 1
  }
}