Pith Number

pith:G2QZMLTN

pith:2010:G2QZMLTNN6FJJ654PHYNMR44T2

not attested not anchored not stored refs pending

Strings of congruent primes in short intervals

Tristan Freiberg

arxiv:1005.4703 v2 · 2010-05-25 · 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{G2QZMLTNN6FJJ654PHYNMR44T2}

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	2026-05-18T02:58:02.126005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36a1962e6d6f8a94fbbc79f0d6479c9e97ca7d9be826a271b885e05984e5730a

Aliases

arxiv: 1005.4703 · arxiv_version: 1005.4703v2 · doi: 10.48550/arxiv.1005.4703 · pith_short_12: G2QZMLTNN6FJ · pith_short_16: G2QZMLTNN6FJJ654 · pith_short_8: G2QZMLTN

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/G2QZMLTNN6FJJ654PHYNMR44T2 \
  | 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: 36a1962e6d6f8a94fbbc79f0d6479c9e97ca7d9be826a271b885e05984e5730a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff1e4aa6db2a8098f083602fa9bdea3cd620320675bcd8850d84a511b6d905b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-25T21:09:05Z",
    "title_canon_sha256": "f14b4b3e0486882671a90ef40c3ce0c0d766fba47e29d223116626c01dd38fa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4703",
    "kind": "arxiv",
    "version": 2
  }
}