Pith Number

pith:4KFNDKBH

pith:2016:4KFNDKBHZXMUQZPD226J3TKOVS

not attested not anchored not stored refs pending

Topological realisations of absolute Galois groups

Peter Scholze, Robert A. Kucharczyk

arxiv:1609.04717 v2 · 2016-09-15 · math.AT · 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{4KFNDKBHZXMUQZPD226J3TKOVS}

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	2026-05-18T01:01:51.394325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28ad1a827cdd94865e3d6bc9dcd4eacbda5d78501b6c0fbb0f7c5b7b0ea37e7

Aliases

arxiv: 1609.04717 · arxiv_version: 1609.04717v2 · doi: 10.48550/arxiv.1609.04717 · pith_short_12: 4KFNDKBHZXMU · pith_short_16: 4KFNDKBHZXMUQZPD · pith_short_8: 4KFNDKBH

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/4KFNDKBHZXMUQZPD226J3TKOVS \
  | 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: e28ad1a827cdd94865e3d6bc9dcd4eacbda5d78501b6c0fbb0f7c5b7b0ea37e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37651103de8398c5f89367100f949147d7c30ad464bcd9924fb22ded4671421b",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-09-15T16:16:51Z",
    "title_canon_sha256": "ba7461bec7b0b3e3a455d90cce072d326b48bf37e39e6ce92cf84c7e66297578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04717",
    "kind": "arxiv",
    "version": 2
  }
}