Pith Number

pith:NIEOE4UM

pith:2014:NIEOE4UMYJ3P3VSRHWKC3RWJFL

not attested not anchored not stored refs pending

Topological Symmetry Groups of Complete Bipartite Graphs

Blake Mellor, Kathleen Hake, Matthew Pittluck

arxiv:1412.7255 v2 · 2014-12-23 · math.GT · 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{NIEOE4UMYJ3P3VSRHWKC3RWJFL}

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	2026-05-18T00:08:24.342119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a08e2728cc276fdd6513d942dc6c92af37b5d0d9a973311233111a7c6d45f58

Aliases

arxiv: 1412.7255 · arxiv_version: 1412.7255v2 · doi: 10.48550/arxiv.1412.7255 · pith_short_12: NIEOE4UMYJ3P · pith_short_16: NIEOE4UMYJ3P3VSR · pith_short_8: NIEOE4UM

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/NIEOE4UMYJ3P3VSRHWKC3RWJFL \
  | 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: 6a08e2728cc276fdd6513d942dc6c92af37b5d0d9a973311233111a7c6d45f58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfacab3f160675132e0e21d2458efbe1a96e477cdd8d187b6adac346362ab5d4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-23T05:01:48Z",
    "title_canon_sha256": "f6592e16ff6a099267ecd245d856dae4e181f3459c1e7b0018f6fa49f0c6ce6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7255",
    "kind": "arxiv",
    "version": 2
  }
}