Pith Number

pith:LOEANYHE

pith:2015:LOEANYHEQNCXODINO67ON3CZBA

not attested not anchored not stored refs pending

From local averaging to emergent global behaviors: the fundamental role of network interconnections

Fabio Fagnani, Giacomo Como

arxiv:1509.08572 v2 · 2015-09-29 · cs.SY · cs.MA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOEANYHEQNCXODINO67ON3CZBA}

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	2026-05-18T01:19:40.611950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b8806e0e48345770d0d77bee6ec5908007cfc47c4838bc4d4dfe1d7005ddfa1

Aliases

arxiv: 1509.08572 · arxiv_version: 1509.08572v2 · doi: 10.48550/arxiv.1509.08572 · pith_short_12: LOEANYHEQNCX · pith_short_16: LOEANYHEQNCXODIN · pith_short_8: LOEANYHE

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/LOEANYHEQNCXODINO67ON3CZBA \
  | 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: 5b8806e0e48345770d0d77bee6ec5908007cfc47c4838bc4d4dfe1d7005ddfa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5abfa9300526f148f514adf77b65c94f97c4d42dc2564db9d96fb3ed17c7d84c",
    "cross_cats_sorted": [
      "cs.MA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2015-09-29T02:58:55Z",
    "title_canon_sha256": "9e07a555b4f3a6e46db55a1a47f586aa7205b8ce21dc74c484df8598818926c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08572",
    "kind": "arxiv",
    "version": 2
  }
}