Pith Number

pith:PONWITTG

pith:2025:PONWITTGO4VAAAVBL2UBKTJPOZ

not attested not anchored not stored refs pending

Sierpinski's Hypothesis H1

Matt Visser (Victoria University of Wellington)

arxiv:2512.22413 v2 · 2025-12-27 · 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{PONWITTGO4VAAAVBL2UBKTJPOZ}

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	2026-07-21T01:20:41.485173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b9b644e66772a0002a15ea8154d2f7674b0d7e851208c313083797902e14fb6

Aliases

arxiv: 2512.22413 · arxiv_version: 2512.22413v2 · doi: 10.48550/arxiv.2512.22413 · pith_short_12: PONWITTGO4VA · pith_short_16: PONWITTGO4VAAAVB · pith_short_8: PONWITTG

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/PONWITTGO4VAAAVBL2UBKTJPOZ \
  | 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: 7b9b644e66772a0002a15ea8154d2f7674b0d7e851208c313083797902e14fb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0cebe419d5fd6ef5c3f4d9067e2dd39dbbb0478ece12f112d33331bdd66f104",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-12-27T00:01:58Z",
    "title_canon_sha256": "4bf7d7cf05c15b12894530fcbe9ce15a8e01ed7e32531afeae62ffab9d8e18c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.22413",
    "kind": "arxiv",
    "version": 2
  }
}