Pith Number

pith:QWRQAUU6

pith:2009:QWRQAUU6WHYV5EBZNCIXGUVW5D

not attested not anchored not stored refs pending

Schreier type theorems for bicrossed products

A.L. Agore, G. Militaru

arxiv:0903.5060 v3 · 2009-03-29 · 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{QWRQAUU6WHYV5EBZNCIXGUVW5D}

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	2026-05-18T02:56:19.622322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a300529eb1f15e903968917352b6e8efc540c872afc9c4cdd77f45da57a86f

Aliases

arxiv: 0903.5060 · arxiv_version: 0903.5060v3 · doi: 10.48550/arxiv.0903.5060 · pith_short_12: QWRQAUU6WHYV · pith_short_16: QWRQAUU6WHYV5EBZ · pith_short_8: QWRQAUU6

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/QWRQAUU6WHYV5EBZNCIXGUVW5D \
  | 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: 85a300529eb1f15e903968917352b6e8efc540c872afc9c4cdd77f45da57a86f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "884e1b574df8e823b136cc4349e621104992a711377d02adaaa20da0007b27a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-03-29T16:05:28Z",
    "title_canon_sha256": "846c55083b1da4fd3a8a3cffaf2a9152f7eca8d1fd5c5442c158a37291fb27dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5060",
    "kind": "arxiv",
    "version": 3
  }
}