Pith Number

pith:XPI7W3SJ

pith:2024:XPI7W3SJMDKQ25GPBCF5YURVJP

not attested not anchored not stored refs pending

Tiling the field $\mathbb{Q}_p$ of $p$-adic numbers by a function

Shilei Fan

arxiv:2412.03834 v2 · 2024-12-05 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPI7W3SJMDKQ25GPBCF5YURVJP}

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.

Cited by

1 paper in Pith

Exponential Riesz bases in non-Archimedean locally compact Abelian groups

Receipt and verification

First computed	2026-07-05T10:00:44.558428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd1fb6e4960d50d74cf088bdc52354bebea4af42fb733ac5e8d0d0aadf1578c

Aliases

arxiv: 2412.03834 · arxiv_version: 2412.03834v2 · doi: 10.48550/arxiv.2412.03834 · pith_short_12: XPI7W3SJMDKQ · pith_short_16: XPI7W3SJMDKQ25GP · pith_short_8: XPI7W3SJ

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/XPI7W3SJMDKQ25GPBCF5YURVJP \
  | 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: bbd1fb6e4960d50d74cf088bdc52354bebea4af42fb733ac5e8d0d0aadf1578c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd57d63b8ba20e20d90d5fe12fcdea7d8775e5ac82f0756e0914c2a28c2ad91d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-12-05T02:56:05Z",
    "title_canon_sha256": "8d605d6c646293bfdd90cbab15a306550c7f95f361f74c6ce7cb483376730d4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03834",
    "kind": "arxiv",
    "version": 2
  }
}