Pith Number

pith:I2LYSSEO

pith:2015:I2LYSSEOLG3DEWBBOH6LU7II4A

not attested not anchored not stored refs pending

Green Operators of Networks with a new vertex

A. Carmona, A.M. Encinas, M. Mitjana, S. Gago

arxiv:1505.07606 v1 · 2015-05-28 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2LYSSEOLG3DEWBBOH6LU7II4A}

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	2026-05-18T02:00:57.957814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

469789488e59b632582171fcba7d08e017e285fe802cff2be6449d8b6264c106

Aliases

arxiv: 1505.07606 · arxiv_version: 1505.07606v1 · doi: 10.48550/arxiv.1505.07606 · pith_short_12: I2LYSSEOLG3D · pith_short_16: I2LYSSEOLG3DEWBB · pith_short_8: I2LYSSEO

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/I2LYSSEOLG3DEWBBOH6LU7II4A \
  | 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: 469789488e59b632582171fcba7d08e017e285fe802cff2be6449d8b6264c106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2611463acbef61540880dd23b4879cdd7f306c1ad77bea6e81d2b0f49ab7913c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-05-28T09:15:42Z",
    "title_canon_sha256": "12bfc2227b87d66bbd8d7b20ff846968e8b784ea11e80dfecc6bec329a28d8a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07606",
    "kind": "arxiv",
    "version": 1
  }
}