Pith Number

pith:BJ5Z76AM

pith:2017:BJ5Z76AMS2XNMJWMVBA5YXTI5L

not attested not anchored not stored refs pending

Isotropic reductive groups over discrete Hodge algebras

Anastasia Stavrova

arxiv:1712.04907 v3 · 2017-12-13 · 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{BJ5Z76AMS2XNMJWMVBA5YXTI5L}

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	2026-05-18T00:09:09.734844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a7b9ff80c96aed626cca841dc5e68eadf85d6ac0945942758ab4c52c9a9ab6c

Aliases

arxiv: 1712.04907 · arxiv_version: 1712.04907v3 · doi: 10.48550/arxiv.1712.04907 · pith_short_12: BJ5Z76AMS2XN · pith_short_16: BJ5Z76AMS2XNMJWM · pith_short_8: BJ5Z76AM

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/BJ5Z76AMS2XNMJWMVBA5YXTI5L \
  | 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: 0a7b9ff80c96aed626cca841dc5e68eadf85d6ac0945942758ab4c52c9a9ab6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d21fe10a72aea07094c4d51c9ed4a7e913fc32c9a2a71f5adcab3be7a78d0a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-12-13T18:24:03Z",
    "title_canon_sha256": "febf89b0b9e81529ddac486d6a3d40f3af9590921a52d1b9a541d9ab5ed06434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04907",
    "kind": "arxiv",
    "version": 3
  }
}