Pith Number

pith:2P6NKA3L

pith:2024:2P6NKA3L3QQXN664D4TTMU7235

not attested not anchored not stored refs pending

Hyper-algebraic invariants of $p$-adic algebraic numbers

Shanwen Wang, Yijun Yuan

arxiv:2402.15947 v3 · 2024-02-25 · 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{2P6NKA3L3QQXN664D4TTMU7235}

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	2026-06-03T01:05:03.251517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3fcd5036bdc2176fbdc1f273653fadf5342e2fade90b441c1f64ddc529e9eb9

Aliases

arxiv: 2402.15947 · arxiv_version: 2402.15947v3 · doi: 10.48550/arxiv.2402.15947 · pith_short_12: 2P6NKA3L3QQX · pith_short_16: 2P6NKA3L3QQXN664 · pith_short_8: 2P6NKA3L

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/2P6NKA3L3QQXN664D4TTMU7235 \
  | 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: d3fcd5036bdc2176fbdc1f273653fadf5342e2fade90b441c1f64ddc529e9eb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "436aace6eefbff078fb57fc2edffcb3e7be61e9f75cdea0bf8d2b1b42b0cdca9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-02-25T01:30:22Z",
    "title_canon_sha256": "59c689607698401685f72b31af2384d2de046d453c4170b220dceef80b622e67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.15947",
    "kind": "arxiv",
    "version": 3
  }
}