Pith Number

pith:3GDPGY4R

pith:2015:3GDPGY4RCEDPXIWTYKF5ZEF33D

not attested not anchored not stored refs pending

The Farrell-Jones conjecture for hyperbolic and CAT(0)-groups revisited

Daniel Kasprowski, Henrik Rueping

arxiv:1509.03748 v2 · 2015-09-12 · math.AT · 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{3GDPGY4RCEDPXIWTYKF5ZEF33D}

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	2026-05-18T00:36:48.120505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d986f363911106fba2d3c28bdc90bbd8ca4493588a17b88323da0e5c7b3d40d7

Aliases

arxiv: 1509.03748 · arxiv_version: 1509.03748v2 · doi: 10.48550/arxiv.1509.03748 · pith_short_12: 3GDPGY4RCEDP · pith_short_16: 3GDPGY4RCEDPXIWT · pith_short_8: 3GDPGY4R

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/3GDPGY4RCEDPXIWTYKF5ZEF33D \
  | 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: d986f363911106fba2d3c28bdc90bbd8ca4493588a17b88323da0e5c7b3d40d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c78e9517df62c9bdfbe03e8b377b9965898ddae570f07e4aab4f34f2e9bdfdf",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-09-12T14:16:48Z",
    "title_canon_sha256": "884fbcb07d1c7cb14abfc5c52d6af96277fed40395b048939c39d63c1f986564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03748",
    "kind": "arxiv",
    "version": 2
  }
}