Pith Number

pith:XEEGKJAR

pith:2011:XEEGKJART6T3MDZN7DFGSPMBH7

not attested not anchored not stored refs pending

On the number of cut locus structures on graphs

Costin V\^ilcu, Jin-ichi Itoh

arxiv:1103.1764 v1 · 2011-03-09 · math.CO · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEEGKJART6T3MDZN7DFGSPMBH7}

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	2026-05-18T01:09:25.662559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9086524119fa7b60f2df8ca693d813ff41eda38b37fb5b67241ebeb419f6798

Aliases

arxiv: 1103.1764 · arxiv_version: 1103.1764v1 · doi: 10.48550/arxiv.1103.1764 · pith_short_12: XEEGKJART6T3 · pith_short_16: XEEGKJART6T3MDZN · pith_short_8: XEEGKJAR

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/XEEGKJART6T3MDZN7DFGSPMBH7 \
  | 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: b9086524119fa7b60f2df8ca693d813ff41eda38b37fb5b67241ebeb419f6798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e8f0ccc7b7bbf8f3f807793cb08d5b37697fdade79fa7b6079c0b8d7f1f358b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-09T11:51:10Z",
    "title_canon_sha256": "3d92484c8af8666682cafcae8cf346d0fa96b294dc3397272e8256d85bc4378c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1764",
    "kind": "arxiv",
    "version": 1
  }
}