Pith Number

pith:HAI5CWMW

pith:2015:HAI5CWMWL3Q7SOYONITQT4ULLM

not attested not anchored not stored refs pending

Vector Reachability Problem in $\mathrm{SL}(2,\mathbb{Z})$

Igor Potapov, Pavel Semukhin

arxiv:1510.03227 v2 · 2015-10-12 · cs.FL · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAI5CWMWL3Q7SOYONITQT4ULLM}

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	2026-05-18T01:16:09.608025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3811d159965ee1f93b0e6a2709f28b5b0eda49e931ee27b8222565a7d8ba4d22

Aliases

arxiv: 1510.03227 · arxiv_version: 1510.03227v2 · doi: 10.48550/arxiv.1510.03227 · pith_short_12: HAI5CWMWL3Q7 · pith_short_16: HAI5CWMWL3Q7SOYO · pith_short_8: HAI5CWMW

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/HAI5CWMWL3Q7SOYONITQT4ULLM \
  | 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: 3811d159965ee1f93b0e6a2709f28b5b0eda49e931ee27b8222565a7d8ba4d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca4f3d0987648eeb3d85dbb22170409f1e892035e716433dca830703c2a8de7",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-10-12T11:09:14Z",
    "title_canon_sha256": "a4c90c525813719b84befd1e6f2b8c06cac073fb2a5827693bc7f3a7d9e20558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03227",
    "kind": "arxiv",
    "version": 2
  }
}