Pith Number

pith:CO7YXUAC

pith:2016:CO7YXUACKP7AQDSKQSWJHD5BOH

not attested not anchored not stored refs pending

Contraction of graphs and spanning k-end trees

Hamed Ghasemian Zoeram

arxiv:1606.06663 v2 · 2016-06-21 · 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{CO7YXUACKP7AQDSKQSWJHD5BOH}

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	2026-05-18T00:53:50.882194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13bf8bd00253fe080e4a84ac938fa171d65be218dacf085de2aad25b06cdbb7a

Aliases

arxiv: 1606.06663 · arxiv_version: 1606.06663v2 · doi: 10.48550/arxiv.1606.06663 · pith_short_12: CO7YXUACKP7A · pith_short_16: CO7YXUACKP7AQDSK · pith_short_8: CO7YXUAC

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/CO7YXUACKP7AQDSKQSWJHD5BOH \
  | 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: 13bf8bd00253fe080e4a84ac938fa171d65be218dacf085de2aad25b06cdbb7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab6e4b1a1ee63e76b1b7701c42b7c0b7611dfe0181478e747186f6050ffae11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-21T17:08:03Z",
    "title_canon_sha256": "d5d043784ee50b18636a3a8b2b49292dc5d0d1503d9d391e9b067d33d8e51bda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06663",
    "kind": "arxiv",
    "version": 2
  }
}