Pith Number

pith:LHAGKXJS

pith:2010:LHAGKXJSIZQNMUK3ABWXWTWAO2

not attested not anchored not stored refs pending

On the Stickelberger splitting map in the $K$--theory of number fields

Cristian Popescu, Grzegorz Banaszak

arxiv:1008.1000 v1 · 2010-08-05 · math.NT · 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{LHAGKXJSIZQNMUK3ABWXWTWAO2}

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	2026-05-18T04:42:34.812999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c0655d324660d6515b006d7b4ec076b47eec2d0caf83164cc11d02203cff73

Aliases

arxiv: 1008.1000 · arxiv_version: 1008.1000v1 · doi: 10.48550/arxiv.1008.1000 · pith_short_12: LHAGKXJSIZQN · pith_short_16: LHAGKXJSIZQNMUK3 · pith_short_8: LHAGKXJS

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/LHAGKXJSIZQNMUK3ABWXWTWAO2 \
  | 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: 59c0655d324660d6515b006d7b4ec076b47eec2d0caf83164cc11d02203cff73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8745cfad3310631cc3e1371c5f2077619b7086fe6695a3b10d1c12a0ca0cf967",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-05T15:28:11Z",
    "title_canon_sha256": "8ed11a473bc165430854f733dc371c02991fb6e06bace375c75f2af47582b823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1000",
    "kind": "arxiv",
    "version": 1
  }
}