Pith Number

pith:W7GAGHDL

pith:2014:W7GAGHDLQO6FGPQQ4MTTH72JKM

not attested not anchored not stored refs pending

Bounded gaps between primes in number fields and function fields

Abel Castillo, Chris Hall, Lola Thompson, Paul Pollack, Robert J. Lemke Oliver

arxiv:1403.5808 v1 · 2014-03-23 · 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{W7GAGHDLQO6FGPQQ4MTTH72JKM}

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	2026-05-18T02:55:47.717337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7cc031c6b83bc533e10e32733ff49532dc2fe8458c17763eec908a9f15cd5dc

Aliases

arxiv: 1403.5808 · arxiv_version: 1403.5808v1 · doi: 10.48550/arxiv.1403.5808 · pith_short_12: W7GAGHDLQO6F · pith_short_16: W7GAGHDLQO6FGPQQ · pith_short_8: W7GAGHDL

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/W7GAGHDLQO6FGPQQ4MTTH72JKM \
  | 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: b7cc031c6b83bc533e10e32733ff49532dc2fe8458c17763eec908a9f15cd5dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a295de473428da35c4d858e5780cd47a5865192961d72bab335ff04e184c7e32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-23T22:11:35Z",
    "title_canon_sha256": "8dab65795414ed80f1861511e3bf07998843c0186e66ed5462905fdb5c438898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5808",
    "kind": "arxiv",
    "version": 1
  }
}