Pith Number

pith:2AGHSGG3

pith:2008:2AGHSGG34MTIQQDGFACTFOA45I

not attested not anchored not stored refs pending

Harmonic measures versus quasiconformal measures for hyperbolic groups

Peter Ha\"issinsky (LATP), Pierre Mathieu (LATP), S\'ebastien Blach\`ere (LATP)

arxiv:0806.3915 v2 · 2008-06-24 · math.PR · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AGHSGG34MTIQQDGFACTFOA45I}

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	2026-05-18T03:34:14.411617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d00c7918dbe326884066280532b81cea00498e26d509c16fa175f70eae59e00b

Aliases

arxiv: 0806.3915 · arxiv_version: 0806.3915v2 · doi: 10.48550/arxiv.0806.3915 · pith_short_12: 2AGHSGG34MTI · pith_short_16: 2AGHSGG34MTIQQDG · pith_short_8: 2AGHSGG3

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/2AGHSGG34MTIQQDGFACTFOA45I \
  | 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: d00c7918dbe326884066280532b81cea00498e26d509c16fa175f70eae59e00b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c96b6821910d078089e3a57cfb15e7919459c0bf3d738b444b01e824a2970c02",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-06-24T15:02:50Z",
    "title_canon_sha256": "93eb403537eba808d8650c170564d06836115fa560fb5b33d72e6adbf789c8f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.3915",
    "kind": "arxiv",
    "version": 2
  }
}