Pith Number

pith:R2LGSB3C

pith:2010:R2LGSB3C7STB6AM5LRSA5QUFOG

not attested not anchored not stored refs pending

Cycle classes for p-adic \'etale Tate twists and the image of p-adic regulators

Kanetomo Sato

arxiv:1004.1357 v4 · 2010-04-08 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2LGSB3C7STB6AM5LRSA5QUFOG}

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	2026-05-18T04:00:27.138998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e96690762fca61f019d5c640ec285718c3ee8cc0caa002b13f095410617bf61

Aliases

arxiv: 1004.1357 · arxiv_version: 1004.1357v4 · doi: 10.48550/arxiv.1004.1357 · pith_short_12: R2LGSB3C7STB · pith_short_16: R2LGSB3C7STB6AM5 · pith_short_8: R2LGSB3C

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/R2LGSB3C7STB6AM5LRSA5QUFOG \
  | 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: 8e96690762fca61f019d5c640ec285718c3ee8cc0caa002b13f095410617bf61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c0665255c3872dfaa0d6fd66e76bee03e7adbcb9c9984d1d832f5b775d1ce77",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-04-08T14:53:25Z",
    "title_canon_sha256": "5481837f619f3e0c962f48ae76427026e8d0b8863fef4c9232b83883e7ec2665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1357",
    "kind": "arxiv",
    "version": 4
  }
}