Pith Number

pith:BDPEJ7K4

pith:2019:BDPEJ7K45WRVVWGKPP2IAI3LBU

not attested not anchored not stored refs pending

Solutions sets to systems of equations in hyperbolic groups are EDT0L in PSPACE

Laura Ciobanu, Murray Elder

arxiv:1902.07349 v2 · 2019-02-19 · math.GR · cs.CC · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDPEJ7K45WRVVWGKPP2IAI3LBU}

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	2026-05-17T23:47:12.086743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08de44fd5ceda35ad8ca7bf480236b0d0133b2788e67c955ecfeacdfef70513f

Aliases

arxiv: 1902.07349 · arxiv_version: 1902.07349v2 · doi: 10.48550/arxiv.1902.07349 · pith_short_12: BDPEJ7K45WRV · pith_short_16: BDPEJ7K45WRVVWGK · pith_short_8: BDPEJ7K4

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/BDPEJ7K45WRVVWGKPP2IAI3LBU \
  | 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: 08de44fd5ceda35ad8ca7bf480236b0d0133b2788e67c955ecfeacdfef70513f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b7d80ded999c235f999d2d9d9c214929c6ebc73411891afe748276c787ca9f4",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-02-19T23:47:38Z",
    "title_canon_sha256": "2a82663ccde663ef5ba891f06188a997acc76a0bb813ac7ffab82abab15b5021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07349",
    "kind": "arxiv",
    "version": 2
  }
}