Pith Number

pith:AP4QV6KN

pith:2016:AP4QV6KNDTTOMFQMUPV2HE2DB5

not attested not anchored not stored refs pending

The unramified inverse Galois problem and cohomology rings of totally imaginary number fields

Magnus Carlson, Tomer M. Schlank

arxiv:1612.01766 v3 · 2016-12-06 · math.NT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AP4QV6KNDTTOMFQMUPV2HE2DB5}

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	2026-05-18T00:30:17.387675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03f90af94d1ce6e6160ca3eba393430f6586dec7390f88a79cf2c1f60024431b

Aliases

arxiv: 1612.01766 · arxiv_version: 1612.01766v3 · doi: 10.48550/arxiv.1612.01766 · pith_short_12: AP4QV6KNDTTO · pith_short_16: AP4QV6KNDTTOMFQM · pith_short_8: AP4QV6KN

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/AP4QV6KNDTTOMFQMUPV2HE2DB5 \
  | 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: 03f90af94d1ce6e6160ca3eba393430f6586dec7390f88a79cf2c1f60024431b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18b2ff41ae322446a4a09f54ab42a72f65173602c5e83c47d8b502c38752a905",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-06T11:49:16Z",
    "title_canon_sha256": "85a3be1b33643eb994c2bd0da08589cfd05b2146a01ee654bd79459c7f7355a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01766",
    "kind": "arxiv",
    "version": 3
  }
}