Pith Number

pith:CEJRHVHX

pith:2015:CEJRHVHXDZHZ5TNGMZSYHBOIE3

not attested not anchored not stored refs pending

Iwasawa theory and zeta elements for $\mathbb{G}_m$

David Burns, Masato Kurihara, Takamichi Sano

arxiv:1506.07935 v3 · 2015-06-26 · 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{CEJRHVHXDZHZ5TNGMZSYHBOIE3}

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	2026-05-18T01:26:33.942692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

111313d4f71e4f9ecda666658385c826eabf3f6b053d09f71243301f352f9d23

Aliases

arxiv: 1506.07935 · arxiv_version: 1506.07935v3 · doi: 10.48550/arxiv.1506.07935 · pith_short_12: CEJRHVHXDZHZ · pith_short_16: CEJRHVHXDZHZ5TNG · pith_short_8: CEJRHVHX

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/CEJRHVHXDZHZ5TNGMZSYHBOIE3 \
  | 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: 111313d4f71e4f9ecda666658385c826eabf3f6b053d09f71243301f352f9d23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "510f13e92bd3753bff443354f6ea0c9a90e39f29ef52a0c185d7ff02a71d201a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-26T01:39:54Z",
    "title_canon_sha256": "2fec8ed375ee293ba65d0b39a51d2a04b990d41f23bb3fcba5dbb5fe0ba77889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07935",
    "kind": "arxiv",
    "version": 3
  }
}