Pith Number

pith:HIHBUDYZ

pith:2014:HIHBUDYZZLYE5MZAE2YNAOJG7F

not attested not anchored not stored refs pending

The $R_{\infty} property for abelian groups

Daciberg Gon\c{c}alves, Karel Dekimpe

arxiv:1402.1861 v1 · 2014-02-08 · 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{HIHBUDYZZLYE5MZAE2YNAOJG7F}

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	2026-05-18T02:59:05.687407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a0e1a0f19caf04eb32026b0d03926f94b2d9a54029cdf1b2ced8a98050a5320

Aliases

arxiv: 1402.1861 · arxiv_version: 1402.1861v1 · doi: 10.48550/arxiv.1402.1861 · pith_short_12: HIHBUDYZZLYE · pith_short_16: HIHBUDYZZLYE5MZA · pith_short_8: HIHBUDYZ

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/HIHBUDYZZLYE5MZAE2YNAOJG7F \
  | 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: 3a0e1a0f19caf04eb32026b0d03926f94b2d9a54029cdf1b2ced8a98050a5320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52528d233c5721b6fdd4a26bf7f1f574358132033b5fbf1a3d9a8c847c563234",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-08T16:09:22Z",
    "title_canon_sha256": "7fb739893c0a51cb9e313bfb922df6ee99563420a97c7ac59007d064d04a2ea4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1861",
    "kind": "arxiv",
    "version": 1
  }
}