Pith Number

pith:RZIS734X

pith:2015:RZIS734XZJVML2LTHKBQDV2IBZ

not attested not anchored not stored refs pending

On the ranks of the algebraic $K$-Theory of hyperbolic groups

Daniel Juan-Pineda, Luis Jorge S\'anchez Salda\~na

arxiv:1511.02767 v1 · 2015-11-09 · math.KT · 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{RZIS734XZJVML2LTHKBQDV2IBZ}

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	2026-05-18T01:27:29.395053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e512fef97ca6ac5e9733a8301d7480e4b7dc16845fda7a87b61c5d44674d882

Aliases

arxiv: 1511.02767 · arxiv_version: 1511.02767v1 · doi: 10.48550/arxiv.1511.02767 · pith_short_12: RZIS734XZJVM · pith_short_16: RZIS734XZJVML2LT · pith_short_8: RZIS734X

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/RZIS734XZJVML2LTHKBQDV2IBZ \
  | 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: 8e512fef97ca6ac5e9733a8301d7480e4b7dc16845fda7a87b61c5d44674d882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41ddc7929f03cffab50cb568993b8963601288bfb25927665bea4b56f18ff9b0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-11-09T17:22:05Z",
    "title_canon_sha256": "47a0a11b412267c65b2035137fc87ba87990b5d55d0863e139f91759ae061c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02767",
    "kind": "arxiv",
    "version": 1
  }
}