Pith Number

pith:2GCAFF47

pith:2012:2GCAFF47TVYTRBLSSH5NWL7O7D

not attested not anchored not stored refs pending

On copies of the absolute Galois group in $\mathrm{Out}\hat{F}_2$

Robert A. Kucharczyk

arxiv:1210.2349 v2 · 2012-10-08 · math.AG · math.GT · 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{2GCAFF47TVYTRBLSSH5NWL7O7D}

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	2026-05-18T02:28:12.325338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d18402979f9d7138857291fadb2feef8e33bbf23a05e76984cb77f170cb07cd0

Aliases

arxiv: 1210.2349 · arxiv_version: 1210.2349v2 · doi: 10.48550/arxiv.1210.2349 · pith_short_12: 2GCAFF47TVYT · pith_short_16: 2GCAFF47TVYTRBLS · pith_short_8: 2GCAFF47

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/2GCAFF47TVYTRBLSSH5NWL7O7D \
  | 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: d18402979f9d7138857291fadb2feef8e33bbf23a05e76984cb77f170cb07cd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4dd8c82528cd65d85ff3a3da0275a493cbd87f3e4656d27dd4196da25cf7718",
    "cross_cats_sorted": [
      "math.GT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-08T17:25:56Z",
    "title_canon_sha256": "c87d98f4a6786b3f293ed4b079070b87e5fd83237e38d1e64b9d3b67e3cd14f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2349",
    "kind": "arxiv",
    "version": 2
  }
}