Pith Number

pith:PFQR3N6U

pith:2009:PFQR3N6UHORU7PKGVBFISBIVOZ

not attested not anchored not stored refs pending

On the distortion of twin building lattices

Bertrand Remy (ICJ), Pierre-Emmanuel Caprace

arxiv:0908.3309 v1 · 2009-08-23 · 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{PFQR3N6UHORU7PKGVBFISBIVOZ}

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	2026-05-18T03:44:13.854376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79611db7d43ba34fbd46a84a8905157677a749f2baa9c48057e7b022d0dc9745

Aliases

arxiv: 0908.3309 · arxiv_version: 0908.3309v1 · doi: 10.48550/arxiv.0908.3309 · pith_short_12: PFQR3N6UHORU · pith_short_16: PFQR3N6UHORU7PKG · pith_short_8: PFQR3N6U

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/PFQR3N6UHORU7PKGVBFISBIVOZ \
  | 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: 79611db7d43ba34fbd46a84a8905157677a749f2baa9c48057e7b022d0dc9745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8505a087ed4c293e464649db9738adf2663cf150a0f1396579bf2320e2870766",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-08-23T15:54:52Z",
    "title_canon_sha256": "49a5df6ab5ca8400a65164ccfba4b2032af5db81ab5c61ba15629296199a59a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3309",
    "kind": "arxiv",
    "version": 1
  }
}