Pith Number

pith:VUMJBCO7

pith:2012:VUMJBCO7W2YTZFKBHJQCEDAYEP

not attested not anchored not stored refs pending

Some new inequalities for primes

Zhi-Wei Sun

arxiv:1209.3729 v3 · 2012-09-17 · 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{VUMJBCO7W2YTZFKBHJQCEDAYEP}

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	2026-05-18T03:45:13.322216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad189089dfb6b13c95413a60220c1823d3e3da16f0845925cf5bda2c6afa01f0

Aliases

arxiv: 1209.3729 · arxiv_version: 1209.3729v3 · doi: 10.48550/arxiv.1209.3729 · pith_short_12: VUMJBCO7W2YT · pith_short_16: VUMJBCO7W2YTZFKB · pith_short_8: VUMJBCO7

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/VUMJBCO7W2YTZFKBHJQCEDAYEP \
  | 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: ad189089dfb6b13c95413a60220c1823d3e3da16f0845925cf5bda2c6afa01f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfd034583e77d003489c8da669f58345b1542a2c7f674ccd730895c02438bb3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-17T17:37:14Z",
    "title_canon_sha256": "77a6d9814e87d374e67f55dbdb4438f58dbdf4df18e5c490678cb2e1570375c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3729",
    "kind": "arxiv",
    "version": 3
  }
}