Pith Number

pith:DV7SX2CE

pith:2013:DV7SX2CENKXHHQNSA4XRXPYTSN

not attested not anchored not stored refs pending

On properness of the eigencurve

Hansheng Diao, Ruochuan Liu

arxiv:1309.0577 v1 · 2013-09-03 · 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{DV7SX2CENKXHHQNSA4XRXPYTSN}

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	2026-05-18T03:14:18.676789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d7f2be8446aae73c1b2072f1bbf13936cebb71648f68059d3e60c1e36dac831

Aliases

arxiv: 1309.0577 · arxiv_version: 1309.0577v1 · doi: 10.48550/arxiv.1309.0577 · pith_short_12: DV7SX2CENKXH · pith_short_16: DV7SX2CENKXHHQNS · pith_short_8: DV7SX2CE

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/DV7SX2CENKXHHQNSA4XRXPYTSN \
  | 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: 1d7f2be8446aae73c1b2072f1bbf13936cebb71648f68059d3e60c1e36dac831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc7dfc7d9d67dbaffc1bac5231658e32c74f09f8967dce9b2a6276dc714dcde2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-03T03:17:48Z",
    "title_canon_sha256": "a61d4f8508904759d8b75196a1edfb80ace64b79d35fd3d151c005c41289e01e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0577",
    "kind": "arxiv",
    "version": 1
  }
}