Pith Number

pith:6SVVJUGQ

pith:2008:6SVVJUGQZEAU7QDAKLZ6ORXWSW

not attested not anchored not stored refs pending

Residual finiteness, QCERF, and fillings of hyperbolic groups

Daniel Groves, Ian Agol, Jason Fox Manning

arxiv:0802.0709 v2 · 2008-02-05 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SVVJUGQZEAU7QDAKLZ6ORXWSW}

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	2026-05-18T02:38:19.229928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ab54d0d0c9014fc06052f3e746f695a188b8cfcb781e47a3d9463edaab8550

Aliases

arxiv: 0802.0709 · arxiv_version: 0802.0709v2 · doi: 10.48550/arxiv.0802.0709 · pith_short_12: 6SVVJUGQZEAU · pith_short_16: 6SVVJUGQZEAU7QDA · pith_short_8: 6SVVJUGQ

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/6SVVJUGQZEAU7QDAKLZ6ORXWSW \
  | 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: f4ab54d0d0c9014fc06052f3e746f695a188b8cfcb781e47a3d9463edaab8550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f432d0f70b7a96ec036dfa7ca4cb75357598c0055793ea1d418fd42228cd6147",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-02-05T21:20:39Z",
    "title_canon_sha256": "a3d0f85c19630ea99059d626f428ea4cc2b971842e556eb1695da6d3424eb741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0709",
    "kind": "arxiv",
    "version": 2
  }
}