Pith Number

pith:I3CSHZ6Z

pith:2012:I3CSHZ6ZE6IGIDAB7NAAQBR2DR

not attested not anchored not stored refs pending

Prime numbers, quantum field theory and the Goldbach conjecture

J. Fernando Barbero G., Jose Navarro-Salas, Miguel-Angel Sanchis-Lozano

arxiv:1201.6541 v2 · 2012-01-31 · math-ph · hep-th · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3CSHZ6ZE6IGIDAB7NAAQBR2DR}

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	2026-05-18T01:58:37.583889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c523e7d92790640c01fb4008063a1c4164bc174701f5894538090e06757638

Aliases

arxiv: 1201.6541 · arxiv_version: 1201.6541v2 · doi: 10.48550/arxiv.1201.6541 · pith_short_12: I3CSHZ6ZE6IG · pith_short_16: I3CSHZ6ZE6IGIDAB · pith_short_8: I3CSHZ6Z

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/I3CSHZ6ZE6IGIDAB7NAAQBR2DR \
  | 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: 46c523e7d92790640c01fb4008063a1c4164bc174701f5894538090e06757638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1d6ead1b9ad679af19c7646e67ba6f43761df9e7925f2a93bc2232f88edda01",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-31T14:05:23Z",
    "title_canon_sha256": "95ab612779e79635ec92bd08dba77c3e64bb8f206692c6221826af31a6f7a18b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6541",
    "kind": "arxiv",
    "version": 2
  }
}