Pith Number

pith:QBZGKPCS

pith:2008:QBZGKPCSLAIMEWTIB6TQTIFGA7

not attested not anchored not stored refs pending

On the descending central sequence of absolute Galois groups

Ido Efrat, Jan Minac

arxiv:0809.2166 v3 · 2008-09-12 · 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{QBZGKPCSLAIMEWTIB6TQTIFGA7}

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	2026-05-18T04:21:11.130473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8072653c525810c25a680fa709a0a607ed080b105d4fc900045769bf0ad43127

Aliases

arxiv: 0809.2166 · arxiv_version: 0809.2166v3 · doi: 10.48550/arxiv.0809.2166 · pith_short_12: QBZGKPCSLAIM · pith_short_16: QBZGKPCSLAIMEWTI · pith_short_8: QBZGKPCS

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/QBZGKPCSLAIMEWTIB6TQTIFGA7 \
  | 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: 8072653c525810c25a680fa709a0a607ed080b105d4fc900045769bf0ad43127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8773015ceb725a48b122bbd8cf2fa8e1428ee7defd78341965eb6d9ed18a15",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-09-12T09:29:18Z",
    "title_canon_sha256": "60c48675ab6bf58cc08c9020885faca4df366b388180fa3aa9a590958345a7f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2166",
    "kind": "arxiv",
    "version": 3
  }
}