Pith Number

pith:PPGBY6AK

pith:2017:PPGBY6AKH4C367VBSS63U5XDYR

not attested not anchored not stored refs pending

Toric Codes and Lattice Ideals

Mesut \c{S}ahin

arxiv:1712.00747 v2 · 2017-12-03 · math.AG · cs.IT · math.AC · math.CO · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPGBY6AKH4C367VBSS63U5XDYR}

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	2026-05-18T00:04:23.878247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bcc1c780a3f05bf7ea194bdba76e3c4473fb791bbb00933ea1b7b9d0fef2234

Aliases

arxiv: 1712.00747 · arxiv_version: 1712.00747v2 · doi: 10.48550/arxiv.1712.00747 · pith_short_12: PPGBY6AKH4C3 · pith_short_16: PPGBY6AKH4C367VB · pith_short_8: PPGBY6AK

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/PPGBY6AKH4C367VBSS63U5XDYR \
  | 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: 7bcc1c780a3f05bf7ea194bdba76e3c4473fb791bbb00933ea1b7b9d0fef2234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d320d0d351698d56c7d7b53a5bd89fd45c7dcda02d058426ad0858cb7d5fa19",
    "cross_cats_sorted": [
      "cs.IT",
      "math.AC",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-03T10:44:44Z",
    "title_canon_sha256": "191e49c6441c9214c270f0870fb642f0a36ea71dffddd7cd2a2e5de0b79c397e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00747",
    "kind": "arxiv",
    "version": 2
  }
}