Pith Number

pith:2LZW3JAO

pith:2009:2LZW3JAOP4W7U6TC7CIJT7Q7XP

not attested not anchored not stored refs pending

K_1 of products of Drinfeld modular curves and special values of L-functions

Ramesh Sreekantan

arxiv:0909.0712 v1 · 2009-09-03 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LZW3JAOP4W7U6TC7CIJT7Q7XP}

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	2026-05-17T23:53:19.974278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2f36da40e7f2dfa7a62f89099fe1fbbc0395cbc203997067b023aa7a1456c9d

Aliases

arxiv: 0909.0712 · arxiv_version: 0909.0712v1 · doi: 10.48550/arxiv.0909.0712 · pith_short_12: 2LZW3JAOP4W7 · pith_short_16: 2LZW3JAOP4W7U6TC · pith_short_8: 2LZW3JAO

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/2LZW3JAOP4W7U6TC7CIJT7Q7XP \
  | 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: d2f36da40e7f2dfa7a62f89099fe1fbbc0395cbc203997067b023aa7a1456c9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d55ebbb82f34b90369f6cb64553361ab2ff7e5af0837a4e0919b81bdf02ef64",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-09-03T17:02:56Z",
    "title_canon_sha256": "f8778397e4b9bb2cec07c7d593af48458b8f3d892d6cf58dd038b93bc0abf510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0712",
    "kind": "arxiv",
    "version": 1
  }
}