Pith Number

pith:47FSYLYQ

pith:2012:47FSYLYQAWF46R7B55KVKMAQZZ

not attested not anchored not stored refs pending

Quasiconvexity and relatively hyperbolic groups that split

Daniel T. Wise, Hadi Bigdely

arxiv:1211.1993 v1 · 2012-11-08 · 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{47FSYLYQAWF46R7B55KVKMAQZZ}

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	2026-05-18T03:41:00.799879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7cb2c2f10058bcf47e1ef55553010ce7560861a4b40020a4164ef4d7d9570e8

Aliases

arxiv: 1211.1993 · arxiv_version: 1211.1993v1 · doi: 10.48550/arxiv.1211.1993 · pith_short_12: 47FSYLYQAWF4 · pith_short_16: 47FSYLYQAWF46R7B · pith_short_8: 47FSYLYQ

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/47FSYLYQAWF46R7B55KVKMAQZZ \
  | 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: e7cb2c2f10058bcf47e1ef55553010ce7560861a4b40020a4164ef4d7d9570e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3388b3610e06e547f6c5f82e36b7ad837c2f0fa27e9878927a27fc98518649f5",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-08T21:28:59Z",
    "title_canon_sha256": "5e96b1f744dcdda9a13d8e7d21d73d37964578085b31eed70ebf89ac159cdb64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1993",
    "kind": "arxiv",
    "version": 1
  }
}