Pith Number

pith:ASTDMKQU

pith:2017:ASTDMKQUMNWOG6IVJPNO3EYJYT

not attested not anchored not stored refs pending

Cup products in the etale cohomology of number fields

Frauke M. Bleher, George Pappas, Mahesh Kakde, Martin J. Taylor, Ralph Greenberg, Ted Chinburg

arxiv:1705.07110 v3 · 2017-05-19 · 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{ASTDMKQUMNWOG6IVJPNO3EYJYT}

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	2026-05-17T23:51:00.351525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a6362a14636ce379154bdaed9309c4c83d70d3b1282a7fe0ad3b69d6f8b05a

Aliases

arxiv: 1705.07110 · arxiv_version: 1705.07110v3 · doi: 10.48550/arxiv.1705.07110 · pith_short_12: ASTDMKQUMNWO · pith_short_16: ASTDMKQUMNWOG6IV · pith_short_8: ASTDMKQU

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/ASTDMKQUMNWOG6IVJPNO3EYJYT \
  | 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: 04a6362a14636ce379154bdaed9309c4c83d70d3b1282a7fe0ad3b69d6f8b05a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ca94445fdac40f61f5d23546d5b97bb8259eb46fe29b27c7e3c108dff35f73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-19T17:43:34Z",
    "title_canon_sha256": "c71e342669159a5f921c00b1e07f9ca89eec45ed7de4bb2eba0ac682fd401d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07110",
    "kind": "arxiv",
    "version": 3
  }
}