Pith Number

pith:M7GX3FBB

pith:2017:M7GX3FBB436QCIC72ZKPIQCDCE

not attested not anchored not stored refs pending

The units-Picard complex of a reductive group scheme

Cristian D. Gonzalez-Aviles

arxiv:1710.06510 v1 · 2017-10-17 · 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{M7GX3FBB436QCIC72ZKPIQCDCE}

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	2026-05-18T00:32:33.507883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67cd7d9421e6fd01205fd654f440431110426e85723b3c9d90ed8dd263034205

Aliases

arxiv: 1710.06510 · arxiv_version: 1710.06510v1 · doi: 10.48550/arxiv.1710.06510 · pith_short_12: M7GX3FBB436Q · pith_short_16: M7GX3FBB436QCIC7 · pith_short_8: M7GX3FBB

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/M7GX3FBB436QCIC72ZKPIQCDCE \
  | 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: 67cd7d9421e6fd01205fd654f440431110426e85723b3c9d90ed8dd263034205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a32a692b17608b9622f459e04c65ff5c592c87a6d19b49594560d6589d00b471",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-17T21:45:14Z",
    "title_canon_sha256": "5905a792985c60f95afc4548ec5e84fabacf75ce3dfbbe98f190d04cd0088e7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06510",
    "kind": "arxiv",
    "version": 1
  }
}