Pith Number

pith:Z5RPDYQK

pith:2014:Z5RPDYQKNQMVX67ZWNMHZ4FZGV

not attested not anchored not stored refs pending

Framed $4$-valent Graph Minor Theory II: Special Minors and New Examples

Vassily Olegovich Manturov

arxiv:1403.1750 v1 · 2014-03-07 · 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{Z5RPDYQKNQMVX67ZWNMHZ4FZGV}

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	2026-05-18T02:56:52.627552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf62f1e20a6c195bfbf9b3587cf0b93552f8cf644e03f37076974204b4d0dcda

Aliases

arxiv: 1403.1750 · arxiv_version: 1403.1750v1 · doi: 10.48550/arxiv.1403.1750 · pith_short_12: Z5RPDYQKNQMV · pith_short_16: Z5RPDYQKNQMVX67Z · pith_short_8: Z5RPDYQK

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/Z5RPDYQKNQMVX67ZWNMHZ4FZGV \
  | 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: cf62f1e20a6c195bfbf9b3587cf0b93552f8cf644e03f37076974204b4d0dcda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96dc3fbce541393615e757679dccb6b8ba062840b23ac5c71965a7977825ef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-07T13:48:08Z",
    "title_canon_sha256": "e68867fc9d46c286b92788867341364a697f686b7f257e19b4309e56ccadac3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1750",
    "kind": "arxiv",
    "version": 1
  }
}