Pith Number

pith:K3HQ3JP5

pith:2008:K3HQ3JP5O4EZKS6BT7OPTIRNJC

not attested not anchored not stored refs pending

Quadratic equations over free groups are NP-complete

A.G Myasnikov, I.G. Lysenok, N.W.M. Touikan, O. Kharlampovich

arxiv:0802.3839 v1 · 2008-02-26 · 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{K3HQ3JP5O4EZKS6BT7OPTIRNJC}

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	2026-05-18T02:55:36.806279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56cf0da5fd7709954bc19fdcf9a22d48aa0bcbd813510d70a1471e72eb349cf6

Aliases

arxiv: 0802.3839 · arxiv_version: 0802.3839v1 · doi: 10.48550/arxiv.0802.3839 · pith_short_12: K3HQ3JP5O4EZ · pith_short_16: K3HQ3JP5O4EZKS6B · pith_short_8: K3HQ3JP5

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/K3HQ3JP5O4EZKS6BT7OPTIRNJC \
  | 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: 56cf0da5fd7709954bc19fdcf9a22d48aa0bcbd813510d70a1471e72eb349cf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d9189127b2aab995f9d0aa575e8b2d8602f35e58837208b214774bf6d12bcb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-02-26T16:56:09Z",
    "title_canon_sha256": "4519c1f20f4fad4aa939590dd71de3d4c9ca5a074eb4559288ca476509633ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3839",
    "kind": "arxiv",
    "version": 1
  }
}