Pith Number

pith:HMBN7VDS

pith:2017:HMBN7VDSWZRUII33EULSM4JJ2V

not attested not anchored not stored refs pending

New upper bounds for Ramanujan primes

Anitha Srinivasan, Pablo Ar\'es

arxiv:1706.07241 v1 · 2017-06-22 · 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{HMBN7VDSWZRUII33EULSM4JJ2V}

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	2026-05-18T00:41:52.255755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b02dfd472b66344237b2517267129d561bf5a5342b1c5313254bc9a92dab17a

Aliases

arxiv: 1706.07241 · arxiv_version: 1706.07241v1 · doi: 10.48550/arxiv.1706.07241 · pith_short_12: HMBN7VDSWZRU · pith_short_16: HMBN7VDSWZRUII33 · pith_short_8: HMBN7VDS

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/HMBN7VDSWZRUII33EULSM4JJ2V \
  | 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: 3b02dfd472b66344237b2517267129d561bf5a5342b1c5313254bc9a92dab17a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "249c6daceca8ab587c850411122733269f8d7e3e0a67830ad815a99b4d1634dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-22T10:22:17Z",
    "title_canon_sha256": "bd0dd40a82d0f88dabfa9dd96806eeeb4cda313b33d7c2534a8d67ff4ef0d28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07241",
    "kind": "arxiv",
    "version": 1
  }
}