Pith Number

pith:5SEBQKYY

pith:2017:5SEBQKYYNQDJIAY372FKWNWMRG

not attested not anchored not stored refs pending

Groups acting acylindrically on hyperbolic spaces

D. Osin

arxiv:1712.00814 v4 · 2017-12-03 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SEBQKYYNQDJIAY372FKWNWMRG}

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	2026-05-18T00:16:14.155369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec88182b186c0694031bfe8aab36cc8989d517e56d795c1c3adae320eccc8013

Aliases

arxiv: 1712.00814 · arxiv_version: 1712.00814v4 · doi: 10.48550/arxiv.1712.00814 · pith_short_12: 5SEBQKYYNQDJ · pith_short_16: 5SEBQKYYNQDJIAY3 · pith_short_8: 5SEBQKYY

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/5SEBQKYYNQDJIAY372FKWNWMRG \
  | 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: ec88182b186c0694031bfe8aab36cc8989d517e56d795c1c3adae320eccc8013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3577faa7c53fde5458039540143a99b9a6dd33cba6b367ee728d3019debd2cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-12-03T18:45:27Z",
    "title_canon_sha256": "ffdee203c3b270c0fdaaf7666182a3298ea377f743bcf7195b27363b10f602fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00814",
    "kind": "arxiv",
    "version": 4
  }
}