Pith Number

pith:G6EECCOA

pith:2013:G6EECCOAE65DGD5ZTP7CNE45HA

not attested not anchored not stored refs pending

On the abelian groups which occur as Galois cohomology groups of global unit groups

Manabu Ozaki

arxiv:1302.1255 v1 · 2013-02-06 · 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{G6EECCOAE65DGD5ZTP7CNE45HA}

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	2026-05-18T03:34:24.768039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37884109c027ba330fb99bfe26939d3830ae0380af3bcd96d6ee2530cd2dcdca

Aliases

arxiv: 1302.1255 · arxiv_version: 1302.1255v1 · doi: 10.48550/arxiv.1302.1255 · pith_short_12: G6EECCOAE65D · pith_short_16: G6EECCOAE65DGD5Z · pith_short_8: G6EECCOA

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/G6EECCOAE65DGD5ZTP7CNE45HA \
  | 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: 37884109c027ba330fb99bfe26939d3830ae0380af3bcd96d6ee2530cd2dcdca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca11907d6e0f1e711bc27390bf51add8e0f7a2fb571e356c2ea24c0b0a23713",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-06T03:39:14Z",
    "title_canon_sha256": "d3adbcb816938ca9794df025052c025d8e989536302ae3f2805f5efd5cb99872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1255",
    "kind": "arxiv",
    "version": 1
  }
}