Pith Number

pith:RGPEKH4Y

pith:2023:RGPEKH4YOTLYUOVXLU6N2T77C2

not attested not anchored not stored refs pending

A Generalization of Arithmetic Derivative to $p$-adic Fields and Number Fields

Brad Emmons, Xiao Xiao

arxiv:2307.04912 v1 · 2023-07-10 · 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{RGPEKH4YOTLYUOVXLU6N2T77C2}

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	2026-07-05T06:29:23.437498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

899e451f9874d78a3ab75d3cdd4fff16b72677a0f68012e397c54f8d51f095b0

Aliases

arxiv: 2307.04912 · arxiv_version: 2307.04912v1 · doi: 10.48550/arxiv.2307.04912 · pith_short_12: RGPEKH4YOTLY · pith_short_16: RGPEKH4YOTLYUOVX · pith_short_8: RGPEKH4Y

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/RGPEKH4YOTLYUOVXLU6N2T77C2 \
  | 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: 899e451f9874d78a3ab75d3cdd4fff16b72677a0f68012e397c54f8d51f095b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea44f8454fc66fabfc80c943bf26d3c984da04e4f539d3beba71bdf9c7ceb7f4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-07-10T21:34:51Z",
    "title_canon_sha256": "c90c0107285d886144cb4b3d032173a39da69ae70d923a1c7fd900d753a34697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.04912",
    "kind": "arxiv",
    "version": 1
  }
}