Pith Number

pith:TLO3V5DM

pith:2012:TLO3V5DMRQ272F4AP6MP5NBTLO

not attested not anchored not stored refs pending

Codes over rings of size $p^2$ and lattices over imaginary quadratic fields

C. Shor, G. Wijesiri, T. Shaska

arxiv:1209.0475 v1 · 2012-09-03 · math.AG · 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{TLO3V5DMRQ272F4AP6MP5NBTLO}

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	2026-05-18T03:46:18.035373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9addbaf46c8c35fd17807f98feb4335b8cede7afc0022776c91a93bec7e9d566

Aliases

arxiv: 1209.0475 · arxiv_version: 1209.0475v1 · doi: 10.48550/arxiv.1209.0475 · pith_short_12: TLO3V5DMRQ27 · pith_short_16: TLO3V5DMRQ272F4A · pith_short_8: TLO3V5DM

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/TLO3V5DMRQ272F4AP6MP5NBTLO \
  | 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: 9addbaf46c8c35fd17807f98feb4335b8cede7afc0022776c91a93bec7e9d566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eeecf60c52f7f53af8a3286b5a6259b6a0d16c009dad02459fbe0da4ddd2ff5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-03T20:07:19Z",
    "title_canon_sha256": "05729df78b591bb00a981f664bcb0d17ce50134ea753f4d8fc07bd3bac0d063d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0475",
    "kind": "arxiv",
    "version": 1
  }
}