Pith Number

pith:JMF4H35L

pith:2009:JMF4H35LYQXD3AQSPFMAVSUC7R

not attested not anchored not stored refs pending

Galois module structure of Galois cohomology for embeddable cyclic extensions of degree p^n

Andrew Schultz, Jan Minac, John Swallow, Nicole Lemire

arxiv:0904.3719 v1 · 2009-04-23 · 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{JMF4H35LYQXD3AQSPFMAVSUC7R}

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	2026-05-18T04:32:19.950280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0bc3efabc42e3d821279580aca82fc5d4da0c2bc19a937ea25b4ea30bc4105

Aliases

arxiv: 0904.3719 · arxiv_version: 0904.3719v1 · doi: 10.48550/arxiv.0904.3719 · pith_short_12: JMF4H35LYQXD · pith_short_16: JMF4H35LYQXD3AQS · pith_short_8: JMF4H35L

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/JMF4H35LYQXD3AQSPFMAVSUC7R \
  | 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: 4b0bc3efabc42e3d821279580aca82fc5d4da0c2bc19a937ea25b4ea30bc4105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "505d9f6039b5a56d791a54b3b932adb5d3246cc978b0cbacb85f00f0acf273d6",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-04-23T15:25:07Z",
    "title_canon_sha256": "4f816e50d727791b2878da76081be8f4a14aff6693007d10400edf3374a8297a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3719",
    "kind": "arxiv",
    "version": 1
  }
}