Pith Number

pith:NNUA2AGP

pith:2018:NNUA2AGPELHLFU5BL6GKK5FQYD

not attested not anchored not stored refs pending

On the Galois group over Q of a truncated binomial expansion

Michael Filaseta, Richard Moy

arxiv:1803.02754 v1 · 2018-03-07 · 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{NNUA2AGPELHLFU5BL6GKK5FQYD}

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	2026-05-18T00:21:49.307898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b680d00cf22ceb2d3a15f8ca574b0c0f2a8f64b71fadb52ed2d6b0005ab7f0b

Aliases

arxiv: 1803.02754 · arxiv_version: 1803.02754v1 · doi: 10.48550/arxiv.1803.02754 · pith_short_12: NNUA2AGPELHL · pith_short_16: NNUA2AGPELHLFU5B · pith_short_8: NNUA2AGP

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/NNUA2AGPELHLFU5BL6GKK5FQYD \
  | 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: 6b680d00cf22ceb2d3a15f8ca574b0c0f2a8f64b71fadb52ed2d6b0005ab7f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "683f5cb96232b3e3b20f8e6c55807ddf6523750c58354b1604705d4c2d228bb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-07T16:43:30Z",
    "title_canon_sha256": "bf2d45ec894cb8d0ca9f2e44ec9a5516c6a04af789da2a1d1e8108a4cee18c6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02754",
    "kind": "arxiv",
    "version": 1
  }
}