Pith Number

pith:YVA4E56G

pith:2012:YVA4E56GYA773FCALOPDPCSLEM

not attested not anchored not stored refs pending

Classifying complements for groups. Applications

A. L. Agore, G. Militaru

arxiv:1204.1805 v3 · 2012-04-09 · 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{YVA4E56GYA773FCALOPDPCSLEM}

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	2026-05-18T01:25:47.952099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c541c277c6c03ffd94405b9e378a4b23248172d3ec1d4d43715b253ce675e3a1

Aliases

arxiv: 1204.1805 · arxiv_version: 1204.1805v3 · doi: 10.48550/arxiv.1204.1805 · pith_short_12: YVA4E56GYA77 · pith_short_16: YVA4E56GYA773FCA · pith_short_8: YVA4E56G

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/YVA4E56GYA773FCALOPDPCSLEM \
  | 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: c541c277c6c03ffd94405b9e378a4b23248172d3ec1d4d43715b253ce675e3a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "803c8ee1c2786c59ce9b4111e18cea8a16957716dc73fcc69df38ceab2a5957d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-09T06:16:27Z",
    "title_canon_sha256": "634afd24bb3834c55e3588455b5f62fd2d14019a2ac2ca8c4d22acdf1b3bb84c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1805",
    "kind": "arxiv",
    "version": 3
  }
}