Pith Number

pith:MORN5M7Z

pith:2016:MORN5M7ZI5WGI3JDC6T2VMSA7A

not attested not anchored not stored refs pending

Lower Bounds on the mim-width of Some Graph Classes

Stefan Mengel

arxiv:1608.01542 v2 · 2016-08-04 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MORN5M7ZI5WGI3JDC6T2VMSA7A}

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	2026-05-18T00:53:24.303233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63a2deb3f9476c646d2317a7aab240f80236acd69660f39f51543c184d189d8c

Aliases

arxiv: 1608.01542 · arxiv_version: 1608.01542v2 · doi: 10.48550/arxiv.1608.01542 · pith_short_12: MORN5M7ZI5WG · pith_short_16: MORN5M7ZI5WGI3JD · pith_short_8: MORN5M7Z

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/MORN5M7ZI5WGI3JDC6T2VMSA7A \
  | 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: 63a2deb3f9476c646d2317a7aab240f80236acd69660f39f51543c184d189d8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93df9029b94e42ac4468fcf869a90f04b0c54018d5b5fc726e6d894149d755fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-08-04T14:26:32Z",
    "title_canon_sha256": "f89b03810a05587a3257e1001c043aef3ddd585d9e9e43c2882a0654999b229c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01542",
    "kind": "arxiv",
    "version": 2
  }
}