Pith Number

pith:T26NRZHB

pith:2013:T26NRZHBPWJ55V5FVH4AGSHVSC

not attested not anchored not stored refs pending

K-Groups of reciprocity functors for G_a and abelian varieties

Kay R\"ulling, Takao Yamazaki

arxiv:1312.4205 v2 · 2013-12-15 · 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{T26NRZHBPWJ55V5FVH4AGSHVSC}

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	2026-05-18T02:44:00.543658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ebcd8e4e17d93ded7a5a9f80348f59096aa65f1c03622cc50049e49886f1941

Aliases

arxiv: 1312.4205 · arxiv_version: 1312.4205v2 · doi: 10.48550/arxiv.1312.4205 · pith_short_12: T26NRZHBPWJ5 · pith_short_16: T26NRZHBPWJ55V5F · pith_short_8: T26NRZHB

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/T26NRZHBPWJ55V5FVH4AGSHVSC \
  | 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: 9ebcd8e4e17d93ded7a5a9f80348f59096aa65f1c03622cc50049e49886f1941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0635ac71ea934e2c683ee9031373f7632a04d70ced8ca33dd320958b60494906",
    "cross_cats_sorted": [
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-15T23:25:15Z",
    "title_canon_sha256": "5c5a2bbb5f76a3583297c32dc34414e44fe0f41cb335e611bc30b4b14109a5db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4205",
    "kind": "arxiv",
    "version": 2
  }
}