Pith Number

pith:TPRCWJCV

pith:2008:TPRCWJCV6RJVSP5CNYQ742OOM5

not attested not anchored not stored refs pending

Toric surface codes and Minkowski length of polygons

Evgenia Soprunova, Ivan Soprunov

arxiv:0802.2088 v1 · 2008-02-14 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPRCWJCV6RJVSP5CNYQ742OOM5}

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	2026-05-18T01:38:54.589499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be22b2455f453593fa26e21fe69ce67568f36dc5cbe8ff3a8c343c0af495142

Aliases

arxiv: 0802.2088 · arxiv_version: 0802.2088v1 · doi: 10.48550/arxiv.0802.2088 · pith_short_12: TPRCWJCV6RJV · pith_short_16: TPRCWJCV6RJVSP5C · pith_short_8: TPRCWJCV

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/TPRCWJCV6RJVSP5CNYQ742OOM5 \
  | 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: 9be22b2455f453593fa26e21fe69ce67568f36dc5cbe8ff3a8c343c0af495142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "971e2c51d88f328aed0931a74befa07188f37262cb236d9958b202f77975ce79",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-02-14T19:54:49Z",
    "title_canon_sha256": "cfc7f2966ae47a909881fd6cd88ec6e2eef92254f9ca8d0978a4fc6e1a42f0ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2088",
    "kind": "arxiv",
    "version": 1
  }
}