Pith Number

pith:Y4ASPTDS

pith:2011:Y4ASPTDS6LU7TLVUTV6A3K4RPV

not attested not anchored not stored refs pending

Upper Bounds for the Number of Number Fields with Alternating Galois Group

Eric Larson, Larry Rolen

arxiv:1107.1182 v1 · 2011-07-06 · 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{Y4ASPTDS6LU7TLVUTV6A3K4RPV}

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	2026-05-18T04:18:45.398636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70127cc72f2e9f9aeb49d7c0dab917d5283e5a523060efdaf9dabfa837b91a5

Aliases

arxiv: 1107.1182 · arxiv_version: 1107.1182v1 · doi: 10.48550/arxiv.1107.1182 · pith_short_12: Y4ASPTDS6LU7 · pith_short_16: Y4ASPTDS6LU7TLVU · pith_short_8: Y4ASPTDS

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/Y4ASPTDS6LU7TLVUTV6A3K4RPV \
  | 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: c70127cc72f2e9f9aeb49d7c0dab917d5283e5a523060efdaf9dabfa837b91a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad0de8717c8021ecfde02ea01b8cc6bb4a3f92b46c112e16d7076af4d81e9878",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-06T16:51:22Z",
    "title_canon_sha256": "c35412c3122d145d10556dbdd1e038db01ae542b4a523140ffdf26baf0fca677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1182",
    "kind": "arxiv",
    "version": 1
  }
}