Pith Number

pith:FEQC7GDE

pith:2010:FEQC7GDEN7XUKGBSPI2GC46NLF

not attested not anchored not stored refs pending

On a notion of "Galois closure" for extensions of rings

Manjul Bhargava, Matthew Satriano

arxiv:1006.2562 v3 · 2010-06-13 · math.AC · math.AG · 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{FEQC7GDEN7XUKGBSPI2GC46NLF}

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	2026-05-18T03:49:22.533373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29202f98646fef4518327a346173cd59412c5d2fff42c1ce45625e71771ce665

Aliases

arxiv: 1006.2562 · arxiv_version: 1006.2562v3 · doi: 10.48550/arxiv.1006.2562 · pith_short_12: FEQC7GDEN7XU · pith_short_16: FEQC7GDEN7XUKGBS · pith_short_8: FEQC7GDE

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/FEQC7GDEN7XUKGBSPI2GC46NLF \
  | 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: 29202f98646fef4518327a346173cd59412c5d2fff42c1ce45625e71771ce665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e551fe76424c031b7210c27516ee5683c002f0667e49b5d1d193cb5d1fa96bc0",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-06-13T20:38:24Z",
    "title_canon_sha256": "964ccc4b4604e047260011f9aac95b3e1f9b158b349cda333bc2d5ac518722e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2562",
    "kind": "arxiv",
    "version": 3
  }
}