Pith Number

pith:SM7A5PAX

pith:2026:SM7A5PAXRPRAMUCEU6P24I3IBO

not attested not anchored not stored refs pending

$p$-adic $L$-functions for elliptic curves over global function fields

Ki-Seng Tan

arxiv:2603.10576 v2 · 2026-03-11 · 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{SM7A5PAXRPRAMUCEU6P24I3IBO}

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	2026-07-07T02:17:20.528007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

933e0ebc178be2065044a79fae23680ba42e105d2a32c45abad768dcb8d9115d

Aliases

arxiv: 2603.10576 · arxiv_version: 2603.10576v2 · doi: 10.48550/arxiv.2603.10576 · pith_short_12: SM7A5PAXRPRA · pith_short_16: SM7A5PAXRPRAMUCE · pith_short_8: SM7A5PAX

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/SM7A5PAXRPRAMUCEU6P24I3IBO \
  | 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: 933e0ebc178be2065044a79fae23680ba42e105d2a32c45abad768dcb8d9115d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f23dbcdd919f4afadffc8825402b57770f2ce3c8ca6099090855c3be53e2cd32",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-03-11T09:28:06Z",
    "title_canon_sha256": "f821b4e26218c8154e211dc1b5f1c791e439eb626e7473ddd0858c5b26080ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.10576",
    "kind": "arxiv",
    "version": 2
  }
}