Pith Number

pith:BNLF2RFT

pith:2018:BNLF2RFTDX45WCHMV3Y7ALPPJ3

not attested not anchored not stored refs pending

Encoding shortest paths in graphs assuming the code is queried using bit-wise comparison

Alexei Vernitski, Gokce Caylak Kayaturan

arxiv:1806.09442 v1 · 2018-06-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNLF2RFTDX45WCHMV3Y7ALPPJ3}

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	2026-05-18T00:12:27.281950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b565d44b31df9db08ecaef1f02def4ef86c2f47a77ed58e5878b306bc05a713

Aliases

arxiv: 1806.09442 · arxiv_version: 1806.09442v1 · doi: 10.48550/arxiv.1806.09442 · pith_short_12: BNLF2RFTDX45 · pith_short_16: BNLF2RFTDX45WCHM · pith_short_8: BNLF2RFT

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/BNLF2RFTDX45WCHMV3Y7ALPPJ3 \
  | 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: 0b565d44b31df9db08ecaef1f02def4ef86c2f47a77ed58e5878b306bc05a713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a51d9fab3c7cf1cec1fa36d2e48b067ef01a49b7aa95bc25cbfd2dbc3d9ca76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-25T13:19:13Z",
    "title_canon_sha256": "a567e33563e9987ce2b92054c43607d59e2cfcb9bba41bb8a951fc11a1cfd262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09442",
    "kind": "arxiv",
    "version": 1
  }
}