Pith Number

pith:PP6ZSS5J

pith:2025:PP6ZSS5JWJXBWEC5UJVPSMJ7WU

not attested not anchored not stored refs pending

Behaviour of the sequence $\vartheta_n = \vartheta(p_n)$

Matt Visser (Victoria University of Wellington)

arxiv:2507.14410 v1 · 2025-07-18 · 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{PP6ZSS5JWJXBWEC5UJVPSMJ7WU}

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	2026-07-05T11:40:05.809876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bfd994ba9b26e1b105da26af9313fb50ff1979e0527d1c0b3918d0743aab5bb

Aliases

arxiv: 2507.14410 · arxiv_version: 2507.14410v1 · doi: 10.48550/arxiv.2507.14410 · pith_short_12: PP6ZSS5JWJXB · pith_short_16: PP6ZSS5JWJXBWEC5 · pith_short_8: PP6ZSS5J

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/PP6ZSS5JWJXBWEC5UJVPSMJ7WU \
  | 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: 7bfd994ba9b26e1b105da26af9313fb50ff1979e0527d1c0b3918d0743aab5bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b06af33afad10456e000b0e2b00548264252dc423a8f94c155d00c49ef2f83b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-18T23:34:46Z",
    "title_canon_sha256": "5e07155f5d77f052bb030b4e5d983f09fe50234f9489470ff6a21be7042d9fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14410",
    "kind": "arxiv",
    "version": 1
  }
}