Pith Number

pith:Z25VIU3M

pith:2018:Z25VIU3MF2TSHXHEUEGRLO4DRW

not attested not anchored not stored refs pending

Infinitely-many Primes in $\mathbb{N}$: A Graph Theoretic Approach

Xandru Mifsud

arxiv:1811.00807 v2 · 2018-11-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z25VIU3MF2TSHXHEUEGRLO4DRW}

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	2026-05-18T00:00:29.465209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cebb54536c2ea723dce4a10d15bb838d83261f3e0515e475a33c0f279defe231

Aliases

arxiv: 1811.00807 · arxiv_version: 1811.00807v2 · doi: 10.48550/arxiv.1811.00807 · pith_short_12: Z25VIU3MF2TS · pith_short_16: Z25VIU3MF2TSHXHE · pith_short_8: Z25VIU3M

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/Z25VIU3MF2TSHXHEUEGRLO4DRW \
  | 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: cebb54536c2ea723dce4a10d15bb838d83261f3e0515e475a33c0f279defe231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af491e0aa36470b61efe65e6875f5d3da55a84da2eb7325d5639a8d6de3721a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-02T10:22:43Z",
    "title_canon_sha256": "c023bc04520596d2a7be8729299cbc8f1ce84e932e7e4fffe2bc9c6eaedb94a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00807",
    "kind": "arxiv",
    "version": 2
  }
}