Pith Number

pith:XXEULMFH

pith:2006:XXEULMFHWBDSTECV4VMPK6P3G3

not attested not anchored not stored refs pending

Dehn filling in relatively hyperbolic groups

Daniel Groves, Jason Fox Manning

arxiv:math/0601311 v4 · 2006-01-13 · 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{XXEULMFHWBDSTECV4VMPK6P3G3}

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.

Cited by

1 paper in Pith

Finiteness of Bowen-Margulis-Sullivan Measure for Gromov-Patterson-Sullivan Systems

Receipt and verification

First computed	2026-07-04T15:40:14.166747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc945b0a7b047299055e558f579fb36edd3ba6474b06fd91c93557295f40242

Aliases

arxiv: math/0601311 · arxiv_version: math/0601311v4 · doi: 10.48550/arxiv.math/0601311 · pith_short_12: XXEULMFHWBDS · pith_short_16: XXEULMFHWBDSTECV · pith_short_8: XXEULMFH

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/XXEULMFHWBDSTECV4VMPK6P3G3 \
  | 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: bdc945b0a7b047299055e558f579fb36edd3ba6474b06fd91c93557295f40242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b9283f649e4e4e210511f1b751fa812bd60b1c19f934971ab4c3822a1ad72da",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2006-01-13T07:47:39Z",
    "title_canon_sha256": "0d4493cf03398852c2e304cccaeab5e2de4e69306040adc53b9cd012cc705dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601311",
    "kind": "arxiv",
    "version": 4
  }
}