Pith Number

pith:V6BDFX7X

pith:2013:V6BDFX7XCVU7ALDDLTTUH767U6

not attested not anchored not stored refs pending

8-rank of the class group and isotropy index

Qing Lu

arxiv:1312.1237 v2 · 2013-12-04 · 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{V6BDFX7XCVU7ALDDLTTUH767U6}

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	2026-05-18T00:18:56.249085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af8232dff71569f02c635ce743ffdfa7be9af11192e24126037cb614ad50fb87

Aliases

arxiv: 1312.1237 · arxiv_version: 1312.1237v2 · doi: 10.48550/arxiv.1312.1237 · pith_short_12: V6BDFX7XCVU7 · pith_short_16: V6BDFX7XCVU7ALDD · pith_short_8: V6BDFX7X

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/V6BDFX7XCVU7ALDDLTTUH767U6 \
  | 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: af8232dff71569f02c635ce743ffdfa7be9af11192e24126037cb614ad50fb87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2894a506f1e13a225f222a3b50e377fe767333e707840f97d8756a6d9df8114c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-04T16:33:47Z",
    "title_canon_sha256": "6cebaea0c85029a83383feff4d580f80e62a65f524bb0e5cadd60c3b45b86c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1237",
    "kind": "arxiv",
    "version": 2
  }
}