Pith Number

pith:NTLFL5SM

pith:2017:NTLFL5SMNUG5XA5HF2VPC7PIJQ

not attested not anchored not stored refs pending

Shorter signed circuit covers of graphs

Edita M\'a\v{c}ajov\'a, Edita Rollov\'a, Robert Lukot'ka, Tom\'a\v{s} Kaiser

arxiv:1706.03808 v1 · 2017-06-12 · 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{NTLFL5SMNUG5XA5HF2VPC7PIJQ}

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	2026-05-18T00:42:28.320636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd655f64c6d0ddb83a72eaaf17de84c347fc773aa22eefdbc15c3d14a3ddd0f

Aliases

arxiv: 1706.03808 · arxiv_version: 1706.03808v1 · doi: 10.48550/arxiv.1706.03808 · pith_short_12: NTLFL5SMNUG5 · pith_short_16: NTLFL5SMNUG5XA5H · pith_short_8: NTLFL5SM

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/NTLFL5SMNUG5XA5HF2VPC7PIJQ \
  | 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: 6cd655f64c6d0ddb83a72eaaf17de84c347fc773aa22eefdbc15c3d14a3ddd0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69199b7606936690ba4ec8807301410e2e4df97992e348d6d58e5b47413aed20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-12T18:50:33Z",
    "title_canon_sha256": "9f2816ccdf6eb2a0a1060e834f78f456431e3d0ba0cb9471e13f46e68b5f8cca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03808",
    "kind": "arxiv",
    "version": 1
  }
}