Pith Number

pith:FWWI4SC2

pith:2013:FWWI4SC26FH32XY7R33AAXHS3M

not attested not anchored not stored refs pending

Bounded prime gaps in short intervals

Johan Andersson

arxiv:1306.0511 v2 · 2013-06-03 · 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{FWWI4SC26FH32XY7R33AAXHS3M}

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	2026-05-18T03:21:42.939122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dac8e485af14fbd5f1f8ef6005cf2db35eda7d1383551bdd1764127a3abc798

Aliases

arxiv: 1306.0511 · arxiv_version: 1306.0511v2 · doi: 10.48550/arxiv.1306.0511 · pith_short_12: FWWI4SC26FH3 · pith_short_16: FWWI4SC26FH32XY7 · pith_short_8: FWWI4SC2

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/FWWI4SC26FH32XY7R33AAXHS3M \
  | 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: 2dac8e485af14fbd5f1f8ef6005cf2db35eda7d1383551bdd1764127a3abc798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17a2a461381cd78a9b2c0016977973aa5362f1db548f556dd11dbfb5df40107a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-03T17:26:57Z",
    "title_canon_sha256": "2366ec146f55e080e831a0ee55a759df2fe43279586d3faa64ee0940476a8d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0511",
    "kind": "arxiv",
    "version": 2
  }
}