Pith Number

pith:TBO4UHTR

pith:2012:TBO4UHTRHDEY54WDOUNWQXKGWW

not attested not anchored not stored refs pending

Group schemes and local densities of ramified hermitian lattices in residue characteristic 2 Part I

Sungmun Cho

arxiv:1210.7894 v5 · 2012-10-30 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBO4UHTRHDEY54WDOUNWQXKGWW}

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	2026-05-18T01:12:08.847275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

985dca1e7138c98ef2c3751b685d46b597a253456d53864c9809245846c932ca

Aliases

arxiv: 1210.7894 · arxiv_version: 1210.7894v5 · doi: 10.48550/arxiv.1210.7894 · pith_short_12: TBO4UHTRHDEY · pith_short_16: TBO4UHTRHDEY54WD · pith_short_8: TBO4UHTR

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/TBO4UHTRHDEY54WDOUNWQXKGWW \
  | 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: 985dca1e7138c98ef2c3751b685d46b597a253456d53864c9809245846c932ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70cffce2c13816720cfc7a7a3ca2679694ee7473a69f1e058513eb5614e088f5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-30T03:09:36Z",
    "title_canon_sha256": "86db3437dcfe4e09bbc6d80ea3f2ba6e15895ff9c6ed3e89138fa2b03900c1ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7894",
    "kind": "arxiv",
    "version": 5
  }
}