Pith Number

pith:RL2UZ7X3

pith:2018:RL2UZ7X3YHFE23O2MYSDFUG56R

not attested not anchored not stored refs pending

M-Polynomial Revisited: Bethe Cacti and an Extension of Gutman's Approach

Emeric Deutsch, Sandi Klav\v{z}ar

arxiv:1806.08183 v2 · 2018-06-21 · 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{RL2UZ7X3YHFE23O2MYSDFUG56R}

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	2026-05-18T00:08:53.911274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8af54cfefbc1ca4d6dda662432d0ddf472c735d1e251698db26d88955d9d95fb

Aliases

arxiv: 1806.08183 · arxiv_version: 1806.08183v2 · doi: 10.48550/arxiv.1806.08183 · pith_short_12: RL2UZ7X3YHFE · pith_short_16: RL2UZ7X3YHFE23O2 · pith_short_8: RL2UZ7X3

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/RL2UZ7X3YHFE23O2MYSDFUG56R \
  | 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: 8af54cfefbc1ca4d6dda662432d0ddf472c735d1e251698db26d88955d9d95fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e48e51d86a5d47244117e3b0d0c6caef9f71842c5098b154276198e6cbcfff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-21T11:51:06Z",
    "title_canon_sha256": "cb694b383d1bcbad9dc5a8b58c35c8cf83dbb4e15880b9a18438387c1d30367f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08183",
    "kind": "arxiv",
    "version": 2
  }
}