Pith Number

pith:LIHXEYOJ

pith:2024:LIHXEYOJYIBPO42B5RRJREEDER

not attested not anchored not stored refs pending

On non-holonomicity, transcendence and $p$-adic valuations

Alexandru Zaharescu, Cristian Cobeli, Mihai Prunescu

arxiv:2412.16517 v1 · 2024-12-21 · 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{LIHXEYOJYIBPO42B5RRJREEDER}

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	2026-07-05T09:52:48.974396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0f7261c9c202f77341ec62989083245c2fc968acfddea905a42b7ca9168cda

Aliases

arxiv: 2412.16517 · arxiv_version: 2412.16517v1 · doi: 10.48550/arxiv.2412.16517 · pith_short_12: LIHXEYOJYIBP · pith_short_16: LIHXEYOJYIBPO42B · pith_short_8: LIHXEYOJ

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/LIHXEYOJYIBPO42B5RRJREEDER \
  | 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: 5a0f7261c9c202f77341ec62989083245c2fc968acfddea905a42b7ca9168cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "332723527fdd251462f73e7ff6ae70b4f6b6702f969b931b7cbbf73b81dd38ac",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-21T07:34:40Z",
    "title_canon_sha256": "20c0c8705e76ce80cf07d63362f57dad3ae64649f5e5e1053b9f2857769892ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16517",
    "kind": "arxiv",
    "version": 1
  }
}