Pith Number

pith:NRULRQXN

pith:2012:NRULRQXN42CMCWLDMRVJRAD5XY

not attested not anchored not stored refs pending

Relations among smooth integral models associated to quadratic, symplectic and hermitian lattices

Sungmun Cho

arxiv:1210.7898 v4 · 2012-10-30 · 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{NRULRQXN42CMCWLDMRVJRAD5XY}

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	2026-05-18T03:24:54.022880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c68b8c2ede684c15963646a98807dbe06c191c693926b1d6461b337535456c3

Aliases

arxiv: 1210.7898 · arxiv_version: 1210.7898v4 · doi: 10.48550/arxiv.1210.7898 · pith_short_12: NRULRQXN42CM · pith_short_16: NRULRQXN42CMCWLD · pith_short_8: NRULRQXN

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/NRULRQXN42CMCWLDMRVJRAD5XY \
  | 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: 6c68b8c2ede684c15963646a98807dbe06c191c693926b1d6461b337535456c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a50591f7181e2800a38b159ba7bca6f55af0633c661bf72639ef38b20b7280e5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-30T03:40:47Z",
    "title_canon_sha256": "c8fccc42e98d66f5e3893e2e39777fba944411ebc557e092c01b9ca9e084bd31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7898",
    "kind": "arxiv",
    "version": 4
  }
}