Pith Number

pith:PJW2FIS6

pith:2018:PJW2FIS6UMZUIYQXWECJRJ45U7

not attested not anchored not stored refs pending

A Peculiarity in the Parity of Primes

Debayan Gupta, Mayuri Sridhar

arxiv:1812.11841 v1 · 2018-12-23 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJW2FIS6UMZUIYQXWECJRJ45U7}

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	2026-05-17T23:57:10.986948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a6da2a25ea333446217b10498a79da7e08fe5fcf9ad791e01b7df11bf57bd3e

Aliases

arxiv: 1812.11841 · arxiv_version: 1812.11841v1 · doi: 10.48550/arxiv.1812.11841 · pith_short_12: PJW2FIS6UMZU · pith_short_16: PJW2FIS6UMZUIYQX · pith_short_8: PJW2FIS6

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/PJW2FIS6UMZUIYQXWECJRJ45U7 \
  | 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: 7a6da2a25ea333446217b10498a79da7e08fe5fcf9ad791e01b7df11bf57bd3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6fe5368c88f16d2b8004a23346f12d84cbb2679233d60afd60d527ea56fda5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2018-12-23T17:01:56Z",
    "title_canon_sha256": "f262b8ef94ae29a66a1c867193158fda0b4c476368b9090c33826c4d1b8f25d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11841",
    "kind": "arxiv",
    "version": 1
  }
}