Pith Number

pith:CJ3RTDAN

pith:2011:CJ3RTDANOBXB7BTWOJ7NRE7N6R

not attested not anchored not stored refs pending

Strings of congruent primes in short intervals II

Tristan Freiberg

arxiv:1110.6624 v1 · 2011-10-30 · 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{CJ3RTDANOBXB7BTWOJ7NRE7N6R}

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	2026-05-18T04:09:55.033577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1277198c0d706e1f8676727ed893edf46211ed1f0b5521cbf733288c3be45652

Aliases

arxiv: 1110.6624 · arxiv_version: 1110.6624v1 · doi: 10.48550/arxiv.1110.6624 · pith_short_12: CJ3RTDANOBXB · pith_short_16: CJ3RTDANOBXB7BTW · pith_short_8: CJ3RTDAN

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/CJ3RTDANOBXB7BTWOJ7NRE7N6R \
  | 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: 1277198c0d706e1f8676727ed893edf46211ed1f0b5521cbf733288c3be45652

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b80467471fd9d1b7e265735edb2c67851837b93c9268d5747dc87d7e4a685a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-30T17:13:59Z",
    "title_canon_sha256": "83b62bae7c257d849b37deb0abff8a78e8b139cfa3f94c2d2fe40ec6f4e5d75d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6624",
    "kind": "arxiv",
    "version": 1
  }
}