Pith Number

pith:N2N3ZNO2

pith:2014:N2N3ZNO2L7YDDXV2XKM6NPLQ65

not attested not anchored not stored refs pending

Complex Network Approach to Number Theory

Daniele Vilone

arxiv:1409.3120 v4 · 2014-09-10 · physics.soc-ph · physics.pop-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2N3ZNO2L7YDDXV2XKM6NPLQ65}

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	2026-05-18T02:41:09.885357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e9bbcb5da5ff031debaba99e6bd70f74f7d61cc3f28b852eb3caa2a6af02b62

Aliases

arxiv: 1409.3120 · arxiv_version: 1409.3120v4 · doi: 10.48550/arxiv.1409.3120 · pith_short_12: N2N3ZNO2L7YD · pith_short_16: N2N3ZNO2L7YDDXV2 · pith_short_8: N2N3ZNO2

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/N2N3ZNO2L7YDDXV2XKM6NPLQ65 \
  | 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: 6e9bbcb5da5ff031debaba99e6bd70f74f7d61cc3f28b852eb3caa2a6af02b62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb048766cd2e702b90f22987d1a6f230c2904a4eedbf71e9674d0df7ebb2de5",
    "cross_cats_sorted": [
      "physics.pop-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2014-09-10T15:44:38Z",
    "title_canon_sha256": "9c5a194961be1023f3b6b8053cb3e5780eefc659f6830de8939cd411fe873922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3120",
    "kind": "arxiv",
    "version": 4
  }
}