Pith Number

pith:UPIVTP6D

pith:2012:UPIVTP6DV2KERH4B6VKQC2D66X

not attested not anchored not stored refs pending

Remarkable and Reversible Prime Number Patterns

H. J. Weber

arxiv:1203.5227 v1 · 2012-03-23 · 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{UPIVTP6DV2KERH4B6VKQC2D66X}

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	2026-05-18T03:59:26.575375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3d159bfc3ae94489f81f55501687ef5df27032dbad4797559316d9c18cf1994

Aliases

arxiv: 1203.5227 · arxiv_version: 1203.5227v1 · doi: 10.48550/arxiv.1203.5227 · pith_short_12: UPIVTP6DV2KE · pith_short_16: UPIVTP6DV2KERH4B · pith_short_8: UPIVTP6D

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/UPIVTP6DV2KERH4B6VKQC2D66X \
  | 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: a3d159bfc3ae94489f81f55501687ef5df27032dbad4797559316d9c18cf1994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59edfc672b0bc37d009fbce8a2c629eb9b0a19b4dd62506acb8ad22097be0cfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-23T13:04:47Z",
    "title_canon_sha256": "40c0a8847cb08f442e7e4929867659bf1f03cc4910c8a1f3ca1fe5e0c07b9d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5227",
    "kind": "arxiv",
    "version": 1
  }
}