pith. sign in
Pith Number

pith:GPTG2DRF

pith:2016:GPTG2DRF7AUPKJZ2C2VVM2CJKA
not attested not anchored not stored refs pending

On the complexity of minimum-link path problems

Frank Staals, Irina Kostitsyna, Maarten L\"offler, Valentin Polishchuk

arxiv:1603.06972 v1 · 2016-03-22 · cs.CG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GPTG2DRF7AUPKJZ2C2VVM2CJKA}

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 2026-05-17T23:51:40.021499Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

33e66d0e25f828f5273a16ab5668495017a2a038630e73f815bbe27ecdf4f89e

Aliases

arxiv: 1603.06972 · arxiv_version: 1603.06972v1 · doi: 10.48550/arxiv.1603.06972 · pith_short_12: GPTG2DRF7AUP · pith_short_16: GPTG2DRF7AUPKJZ2 · pith_short_8: GPTG2DRF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GPTG2DRF7AUPKJZ2C2VVM2CJKA \
  | 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: 33e66d0e25f828f5273a16ab5668495017a2a038630e73f815bbe27ecdf4f89e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "686d7e3e949a6d8160cd0594fa820f1e10a775bfc7092f71c7aa37e23733d385",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-03-22T20:41:16Z",
    "title_canon_sha256": "aa914246a952d4a67357feafa7c8ea2fb313108532ef3d29be470603580c70be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06972",
    "kind": "arxiv",
    "version": 1
  }
}