Pith Number

pith:QWQLN25H

pith:2018:QWQLN25HDNI5C5W34ZUGMSVP7N

not attested not anchored not stored refs pending

The density of ramified primes

Jyoti Prakash Saha

arxiv:1802.09309 v1 · 2018-02-26 · 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{QWQLN25HDNI5C5W34ZUGMSVP7N}

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	2026-05-18T00:22:34.141159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a0b6eba71b51d176dbe668664aaffb7b269c28eec5eadfd766c6bcbe4c449c

Aliases

arxiv: 1802.09309 · arxiv_version: 1802.09309v1 · doi: 10.48550/arxiv.1802.09309 · pith_short_12: QWQLN25HDNI5 · pith_short_16: QWQLN25HDNI5C5W3 · pith_short_8: QWQLN25H

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/QWQLN25HDNI5C5W34ZUGMSVP7N \
  | 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: 85a0b6eba71b51d176dbe668664aaffb7b269c28eec5eadfd766c6bcbe4c449c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01b068089aa70a98716851a6ad92559395dbbfd8433b2a88b8cb9ca013e0ff17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-26T14:08:03Z",
    "title_canon_sha256": "c423a1a98825e9c0ff708a9040414d54928936e0da4f6e9e88ef7869dab38f5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09309",
    "kind": "arxiv",
    "version": 1
  }
}