Pith Number

pith:LTDCPBFA

pith:2015:LTDCPBFA3VPMSWMJG5WXKVMCMY

not attested not anchored not stored refs pending

A Simple Proof of the Mean Value of $\left|K_{2}(\mathcal{O})\right|$ in Function Fields

Julio Andrade

arxiv:1504.06205 v1 · 2015-04-23 · 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{LTDCPBFA3VPMSWMJG5WXKVMCMY}

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	2026-05-18T02:18:02.276243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc62784a0dd5ec95989376d755582660d38e5562d1c0f282642a8ebfe8a44a6

Aliases

arxiv: 1504.06205 · arxiv_version: 1504.06205v1 · doi: 10.48550/arxiv.1504.06205 · pith_short_12: LTDCPBFA3VPM · pith_short_16: LTDCPBFA3VPMSWMJ · pith_short_8: LTDCPBFA

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/LTDCPBFA3VPMSWMJG5WXKVMCMY \
  | 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: 5cc62784a0dd5ec95989376d755582660d38e5562d1c0f282642a8ebfe8a44a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5461dd34199bf3946ddbbe4955d61f855cc129006d8a05b6dd318e98dfb5360c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-23T14:41:06Z",
    "title_canon_sha256": "f25c49ac18991221b8e649092554d36ac7865c5f07d5d5a81e63ce899e5b05af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06205",
    "kind": "arxiv",
    "version": 1
  }
}