Pith Number

pith:B4F4RPJL

pith:2008:B4F4RPJLGHS4XTSEIOP7ZZMTX6

not attested not anchored not stored refs pending

Algebraic relations among periods and logarithms of rank 2 Drinfeld modules

Chieh-Yu Chang, Matthew A. Papanikolas

arxiv:0807.3157 v1 · 2008-07-20 · 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{B4F4RPJLGHS4XTSEIOP7ZZMTX6}

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	2026-05-18T04:21:00.802966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f0bc8bd2b31e5cbce44439ffce593bf9e0c758a44ebef74e77972a663faefb8

Aliases

arxiv: 0807.3157 · arxiv_version: 0807.3157v1 · doi: 10.48550/arxiv.0807.3157 · pith_short_12: B4F4RPJLGHS4 · pith_short_16: B4F4RPJLGHS4XTSE · pith_short_8: B4F4RPJL

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/B4F4RPJLGHS4XTSEIOP7ZZMTX6 \
  | 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: 0f0bc8bd2b31e5cbce44439ffce593bf9e0c758a44ebef74e77972a663faefb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e8207b63d3daf0ac3ae0025370e3d8aef00f9815a303e00df468fe68e5e8973",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-07-20T13:27:02Z",
    "title_canon_sha256": "3aa6a93d9eaa1ce17e843a96685a1d86846bdcecd9976d0094cb51236da46058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3157",
    "kind": "arxiv",
    "version": 1
  }
}