Pith Number

pith:XK53XJRR

pith:2013:XK53XJRRKGT6OT63YIBI3JYSUK

not attested not anchored not stored refs pending

Une loi de r\'eciprocit\'e explicite pour le polylogarithme elliptique

Francesco Lemma, Shanwen Wang

arxiv:1312.1853 v2 · 2013-12-06 · 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{XK53XJRRKGT6OT63YIBI3JYSUK}

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	2026-05-18T03:04:06.107869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

babbbba63151a7e74fdbc2028da712a2820c6222c0ea3b06ab33a46fb63fc953

Aliases

arxiv: 1312.1853 · arxiv_version: 1312.1853v2 · doi: 10.48550/arxiv.1312.1853 · pith_short_12: XK53XJRRKGT6 · pith_short_16: XK53XJRRKGT6OT63 · pith_short_8: XK53XJRR

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/XK53XJRRKGT6OT63YIBI3JYSUK \
  | 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: babbbba63151a7e74fdbc2028da712a2820c6222c0ea3b06ab33a46fb63fc953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05020104636ac08041f50ef68f74db3d56bd4f230302b5d56366661042780432",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-06T13:16:20Z",
    "title_canon_sha256": "b4d08bba6303ae0d5fe706211957fd5f9fbae4db10acbd210ceb4c0805ed9a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1853",
    "kind": "arxiv",
    "version": 2
  }
}