Pith Number

pith:BMCTKUQG

pith:2014:BMCTKUQGXFLCAXNMW7JBWUTV6P

not attested not anchored not stored refs pending

Bounded gaps between primes of the special form

Hao Pan, Hongze Li

arxiv:1403.4527 v4 · 2014-03-18 · 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{BMCTKUQGXFLCAXNMW7JBWUTV6P}

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	2026-05-18T02:09:41.917543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b05355206b956205dacb7d21b5275f3ca1ee7384915f6ef55a4c007539afeda

Aliases

arxiv: 1403.4527 · arxiv_version: 1403.4527v4 · doi: 10.48550/arxiv.1403.4527 · pith_short_12: BMCTKUQGXFLC · pith_short_16: BMCTKUQGXFLCAXNM · pith_short_8: BMCTKUQG

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/BMCTKUQGXFLCAXNMW7JBWUTV6P \
  | 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: 0b05355206b956205dacb7d21b5275f3ca1ee7384915f6ef55a4c007539afeda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "223be0bc295a57d374b900dbc93bd59aa9a538e150ede1d5fd4eac43ce5c5fce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-18T16:39:56Z",
    "title_canon_sha256": "41ae5e6d1437238c59d02111af9185f328ef6b9456f9c7bfac19c210dd1371d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4527",
    "kind": "arxiv",
    "version": 4
  }
}