Pith Number

pith:H3EMSSHW

pith:2013:H3EMSSHWGUZDTASD2UOJWBXFJO

not attested not anchored not stored refs pending

Arithmetic invariant theory II

Benedict H. Gross, Manjul Bhargava, Xiaoheng Wang

arxiv:1310.7689 v1 · 2013-10-29 · math.NT · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3EMSSHWGUZDTASD2UOJWBXFJO}

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	2026-05-18T03:08:35.544237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec8c948f63532398243d51c9b06e54ba20278bbb145c98bf1f4a6a3c5f7de9d

Aliases

arxiv: 1310.7689 · arxiv_version: 1310.7689v1 · doi: 10.48550/arxiv.1310.7689 · pith_short_12: H3EMSSHWGUZD · pith_short_16: H3EMSSHWGUZDTASD · pith_short_8: H3EMSSHW

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/H3EMSSHWGUZDTASD2UOJWBXFJO \
  | 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: 3ec8c948f63532398243d51c9b06e54ba20278bbb145c98bf1f4a6a3c5f7de9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fc4cfacf2a49522c4c01c1e85df076cf96d0e98766e802444c134dc7f99b0c6",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-29T06:01:39Z",
    "title_canon_sha256": "866fb16c0327b264b8743d5bd8b2b9a9b980a9f5681f80e2c2289460633583ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7689",
    "kind": "arxiv",
    "version": 1
  }
}