Pith Number

pith:3WNXVID5

pith:2021:3WNXVID56LOACYUVBUMZ2URNSW

not attested not anchored not stored refs pending

Constructing Triangle Decomposable Multigraphs with Minimum Multi-edges

A. K. Wright, C. M. Mynhardt

arxiv:2108.07890 v2 · 2021-08-17 · 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{3WNXVID56LOACYUVBUMZ2URNSW}

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	2026-07-05T03:07:31.229344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd9b7aa07df2dc0162950d199d522d95a6a008ed7bb80aac5a4dace87a0885a7

Aliases

arxiv: 2108.07890 · arxiv_version: 2108.07890v2 · doi: 10.48550/arxiv.2108.07890 · pith_short_12: 3WNXVID56LOA · pith_short_16: 3WNXVID56LOACYUV · pith_short_8: 3WNXVID5

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/3WNXVID56LOACYUVBUMZ2URNSW \
  | 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: dd9b7aa07df2dc0162950d199d522d95a6a008ed7bb80aac5a4dace87a0885a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8be95e0bd39a5d2c93dea761468154e81977936e5788ffdc62bf214e1885098e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-08-17T21:43:55Z",
    "title_canon_sha256": "b6e42e0828964a3320aa1085335c599094961aa8e2cff6cf08289653f98f4b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07890",
    "kind": "arxiv",
    "version": 2
  }
}