Pith Number

pith:6ZNSDEF3

pith:2020:6ZNSDEF3IXYI6NGGX6R6FAJZGF

not attested not anchored not stored refs pending

Bertrand's postulate and the existence of finite fields

K. Soundararajan

arxiv:2007.01389 v1 · 2020-07-02 · 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{6ZNSDEF3IXYI6NGGX6R6FAJZGF}

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	2026-07-05T01:16:01.059298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f65b2190bb45f08f34c6bfa3e2813931444f5fff4dec63b786c226fd8fd3fb16

Aliases

arxiv: 2007.01389 · arxiv_version: 2007.01389v1 · doi: 10.48550/arxiv.2007.01389 · pith_short_12: 6ZNSDEF3IXYI · pith_short_16: 6ZNSDEF3IXYI6NGG · pith_short_8: 6ZNSDEF3

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/6ZNSDEF3IXYI6NGGX6R6FAJZGF \
  | 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: f65b2190bb45f08f34c6bfa3e2813931444f5fff4dec63b786c226fd8fd3fb16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42c5cefdc4cac9b2feb01c7cbe1e5e6425f12324b67604763e305ef9f346bf1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-07-02T21:19:53Z",
    "title_canon_sha256": "323a84f1ee05bfdb8b95410b257b45edabe1d505be94b66467e08270c5532b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.01389",
    "kind": "arxiv",
    "version": 1
  }
}