Pith Number

pith:2GQ6I2DF

pith:2010:2GQ6I2DFWBJ2JDPG2INIBFGNL3

not attested not anchored not stored refs pending

Green Correspondence for Virtually Pro-p Groups

John MacQuarrie

arxiv:1011.3800 v1 · 2010-11-16 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GQ6I2DFWBJ2JDPG2INIBFGNL3}

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	2026-05-18T04:35:48.093436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a1e46865b053a48de6d21a8094cd5ed00cbcd496324db50ce5adc3b38b68e5

Aliases

arxiv: 1011.3800 · arxiv_version: 1011.3800v1 · doi: 10.48550/arxiv.1011.3800 · pith_short_12: 2GQ6I2DFWBJ2 · pith_short_16: 2GQ6I2DFWBJ2JDPG · pith_short_8: 2GQ6I2DF

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/2GQ6I2DFWBJ2JDPG2INIBFGNL3 \
  | 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: d1a1e46865b053a48de6d21a8094cd5ed00cbcd496324db50ce5adc3b38b68e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0dffeecc1c68dcdd0b961e786b8ebdb73b2208c0da47375a7b76ad0e0581fd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-11-16T19:57:25Z",
    "title_canon_sha256": "af788b9357b6b4c4a389184671934ba4877d6da9d73e8fbfeacba647a6a8ba82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3800",
    "kind": "arxiv",
    "version": 1
  }
}