Pith Number

pith:IFKOIHTX

pith:2016:IFKOIHTXUAWWHPTFMDF2GVIUB4

not attested not anchored not stored refs pending

Minimal completely asymmetric (4; n)-regular matchstick graphs

Mike Winkler, Peter Dinkelacker, Stefan Vogel

arxiv:1609.06972 v4 · 2016-09-13 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFKOIHTXUAWWHPTFMDF2GVIUB4}

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	2026-05-18T00:17:02.120425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4154e41e77a02d63be6560cba355140f1acd9f85abd96ed154f653f985eb7a38

Aliases

arxiv: 1609.06972 · arxiv_version: 1609.06972v4 · doi: 10.48550/arxiv.1609.06972 · pith_short_12: IFKOIHTXUAWW · pith_short_16: IFKOIHTXUAWWHPTF · pith_short_8: IFKOIHTX

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/IFKOIHTXUAWWHPTFMDF2GVIUB4 \
  | 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: 4154e41e77a02d63be6560cba355140f1acd9f85abd96ed154f653f985eb7a38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "178230013ab94824f2d0d87ab78c3cae300e1ec31f838dee5594fc61c85146a3",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-13T01:03:41Z",
    "title_canon_sha256": "15881d722135dd0b4d1603ecceebb8860d8d9f768f4c50a4bb4c26a7c677acd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06972",
    "kind": "arxiv",
    "version": 4
  }
}