Pith Number

pith:5JJVEQDM

pith:2016:5JJVEQDMPTYJDNKICXPGDSDEJ6

not attested not anchored not stored refs pending

Extension properties of asymptotic property C and finite decomposition complexity

Boris Goldfarb, Susan Beckhardt

arxiv:1607.00445 v3 · 2016-07-02 · math.GT · 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{5JJVEQDMPTYJDNKICXPGDSDEJ6}

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

Obstructions to coarse universality for finitely generated groups

Receipt and verification

First computed	2026-05-18T00:19:36.123134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea5352406c7cf091b54815de61c8644fa842d571f7bb628280710fa38beb65e4

Aliases

arxiv: 1607.00445 · arxiv_version: 1607.00445v3 · doi: 10.48550/arxiv.1607.00445 · pith_short_12: 5JJVEQDMPTYJ · pith_short_16: 5JJVEQDMPTYJDNKI · pith_short_8: 5JJVEQDM

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/5JJVEQDMPTYJDNKICXPGDSDEJ6 \
  | 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: ea5352406c7cf091b54815de61c8644fa842d571f7bb628280710fa38beb65e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4586b255bb6de453f29feacf940dcb0029ce5ca85daef0ba736446e42f52815",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-02T01:29:54Z",
    "title_canon_sha256": "6811263c3b73590cd9411ff2ca72b4cc80686c6f96b94750b1dd470313f5eeff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00445",
    "kind": "arxiv",
    "version": 3
  }
}