Pith Number

pith:6DDHZNZ5

pith:2012:6DDHZNZ5UXVT55SOGE3BNEQZM3

not attested not anchored not stored refs pending

On A^1-fundamental groups of isotropic reductive groups

Konrad Voelkel, Matthias Wendt

arxiv:1207.2364 v2 · 2012-07-10 · 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{6DDHZNZ5UXVT55SOGE3BNEQZM3}

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	2026-05-18T01:18:15.386826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0c67cb73da5eb3ef64e313616921966e78a8128f343f528efa548c2a2d65666

Aliases

arxiv: 1207.2364 · arxiv_version: 1207.2364v2 · doi: 10.48550/arxiv.1207.2364 · pith_short_12: 6DDHZNZ5UXVT · pith_short_16: 6DDHZNZ5UXVT55SO · pith_short_8: 6DDHZNZ5

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/6DDHZNZ5UXVT55SOGE3BNEQZM3 \
  | 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: f0c67cb73da5eb3ef64e313616921966e78a8128f343f528efa548c2a2d65666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bba98ae0043678d32dc314e990d9ee7897bc40bde908eccbcc641e29f8c3a77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-07-10T14:21:26Z",
    "title_canon_sha256": "93608c00cb8847d22e72bcb0f197dab68255dd99bf57025a07a6a1146bb4c228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2364",
    "kind": "arxiv",
    "version": 2
  }
}