Pith Number

pith:FK6U4HGE

pith:2015:FK6U4HGEOYRD6VUO4QI3OCGQDX

not attested not anchored not stored refs pending

Lattices in the cohomology of $U(3)$ arithmetic manifolds

Daniel Le

arxiv:1507.04766 v2 · 2015-07-16 · 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{FK6U4HGEOYRD6VUO4QI3OCGQDX}

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	2026-05-18T00:33:04.432181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2abd4e1cc476223f568ee411b708d01df175c1e83d3e9ec066415e9b611c3f2f

Aliases

arxiv: 1507.04766 · arxiv_version: 1507.04766v2 · doi: 10.48550/arxiv.1507.04766 · pith_short_12: FK6U4HGEOYRD · pith_short_16: FK6U4HGEOYRD6VUO · pith_short_8: FK6U4HGE

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/FK6U4HGEOYRD6VUO4QI3OCGQDX \
  | 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: 2abd4e1cc476223f568ee411b708d01df175c1e83d3e9ec066415e9b611c3f2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90398c8ffe1360c742ec0546974edbce78a7b6d2c061654a62d151bce8eabbe1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-16T20:37:30Z",
    "title_canon_sha256": "025bcb561e27cd844d34e69e43b7d1190043a1dbeb7f9bfb56d198df1d6363e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04766",
    "kind": "arxiv",
    "version": 2
  }
}