Pith Number

pith:6QZMPDYH

pith:2010:6QZMPDYHDB5HLH5TOWMQFLWXNM

not attested not anchored not stored refs pending

On the symmetry of primes

Giovanni Coppola

arxiv:1009.6121 v9 · 2010-09-29 · 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{6QZMPDYHDB5HLH5TOWMQFLWXNM}

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	2026-05-18T04:21:10.714063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f432c78f07187a759fb3759902aed76b24900af19f047fb675a3139279d89d90

Aliases

arxiv: 1009.6121 · arxiv_version: 1009.6121v9 · doi: 10.48550/arxiv.1009.6121 · pith_short_12: 6QZMPDYHDB5H · pith_short_16: 6QZMPDYHDB5HLH5T · pith_short_8: 6QZMPDYH

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/6QZMPDYHDB5HLH5TOWMQFLWXNM \
  | 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: f432c78f07187a759fb3759902aed76b24900af19f047fb675a3139279d89d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca0717cb4db697efab1397b8c5929cfb90e89023435b2343a14dee64ed658dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-29T11:06:17Z",
    "title_canon_sha256": "1fa23dbf3222dd2c36f02b27c3c3540c5f6f7fdfa993cc514575b306fba160ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6121",
    "kind": "arxiv",
    "version": 9
  }
}