Pith Number

pith:4RSR7VYU

pith:2016:4RSR7VYU5TWMCWGN7OKXGKCRK7

not attested not anchored not stored refs pending

Cube invariance of higher Chow groups with modulus

Hiroyasu Miyazaki

arxiv:1604.06155 v4 · 2016-04-21 · math.AG · math.KT · 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{4RSR7VYU5TWMCWGN7OKXGKCRK7}

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	2026-05-18T00:41:23.148673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4651fd714ececc158cdfb9573285157de08be5eeb6621b68aadfe11a12746e9

Aliases

arxiv: 1604.06155 · arxiv_version: 1604.06155v4 · doi: 10.48550/arxiv.1604.06155 · pith_short_12: 4RSR7VYU5TWM · pith_short_16: 4RSR7VYU5TWMCWGN · pith_short_8: 4RSR7VYU

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/4RSR7VYU5TWMCWGN7OKXGKCRK7 \
  | 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: e4651fd714ececc158cdfb9573285157de08be5eeb6621b68aadfe11a12746e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e99358a3e3d1229c3b760fad5c5fc2bf76108f22ae407fc44752bcd17d1f5d0",
    "cross_cats_sorted": [
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-21T01:47:38Z",
    "title_canon_sha256": "01bcfd7a1d871312a5e54850fc1278a680f8474d828491f2496f1e10f7defbcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06155",
    "kind": "arxiv",
    "version": 4
  }
}