Pith Number

pith:RXEXMI4X

pith:2018:RXEXMI4XESOROTKDU3FFRA4KBS

not attested not anchored not stored refs pending

Rank--two Euler systems for symmetric squares

Antonio Lei, K\^az{\i}m B\"uy\"ukboduk

arxiv:1809.10004 v2 · 2018-09-26 · 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{RXEXMI4XESOROTKDU3FFRA4KBS}

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	2026-05-17T23:44:30.183569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dc9762397249d174d43a6ca58838a0c9b4c220102ca387151dd146e463391a1

Aliases

arxiv: 1809.10004 · arxiv_version: 1809.10004v2 · doi: 10.48550/arxiv.1809.10004 · pith_short_12: RXEXMI4XESOR · pith_short_16: RXEXMI4XESOROTKD · pith_short_8: RXEXMI4X

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/RXEXMI4XESOROTKDU3FFRA4KBS \
  | 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: 8dc9762397249d174d43a6ca58838a0c9b4c220102ca387151dd146e463391a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81c256c96459efa40343290be75fd0fdb11b21826970fc51b99ec56ba470dbfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-26T14:04:06Z",
    "title_canon_sha256": "fc764a1ad0260a7f3d06b1eb3c9e93fa9d00b53a76debda7ed9812b5c06218a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10004",
    "kind": "arxiv",
    "version": 2
  }
}