Pith Number

pith:EIQIAVN2

pith:2007:EIQIAVN2O3APCIYBOX7CM3Y4KJ

not attested not anchored not stored refs pending

Commensurations and Subgroups of Finite Index of Thompson's Group F

Claas E. R\"over, Jos\'e Burillo, Sean Cleary

arxiv:0711.0919 v4 · 2007-11-06 · 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{EIQIAVN2O3APCIYBOX7CM3Y4KJ}

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	2026-05-18T02:38:19.321948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22208055ba76c0f1230175fe266f1c525dfd216fcfad8410a30f442c83394ae2

Aliases

arxiv: 0711.0919 · arxiv_version: 0711.0919v4 · doi: 10.48550/arxiv.0711.0919 · pith_short_12: EIQIAVN2O3AP · pith_short_16: EIQIAVN2O3APCIYB · pith_short_8: EIQIAVN2

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/EIQIAVN2O3APCIYBOX7CM3Y4KJ \
  | 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: 22208055ba76c0f1230175fe266f1c525dfd216fcfad8410a30f442c83394ae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42c524934ad045ad74e6f47ec4ee2fe10124ad4afe7279090775d34966cba216",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2007-11-06T16:38:51Z",
    "title_canon_sha256": "bdd54ef498db22adec94ff84f0bee53a3c4864ccaa152f8afbf68b928784a1f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0919",
    "kind": "arxiv",
    "version": 4
  }
}