Pith Number

pith:5KLYAVDJ

pith:2016:5KLYAVDJLRYPMQQ622TCDEX7GK

not attested not anchored not stored refs pending

The relative units-Picard complex and the Brauer group of a product

Cristian D. Gonzalez-Aviles

arxiv:1606.04392 v3 · 2016-06-14 · 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{5KLYAVDJLRYPMQQ622TCDEX7GK}

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	2026-05-18T00:44:38.910663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea978054695c70f6421ed6a62192ff3280f95a208da1222e89f4e90ea1beb90e

Aliases

arxiv: 1606.04392 · arxiv_version: 1606.04392v3 · doi: 10.48550/arxiv.1606.04392 · pith_short_12: 5KLYAVDJLRYP · pith_short_16: 5KLYAVDJLRYPMQQ6 · pith_short_8: 5KLYAVDJ

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/5KLYAVDJLRYPMQQ622TCDEX7GK \
  | 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: ea978054695c70f6421ed6a62192ff3280f95a208da1222e89f4e90ea1beb90e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77ed69c9f9d438598743719c149d7dc9af41a4fb34909064f074bc7a1ed906e7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-14T14:34:15Z",
    "title_canon_sha256": "e849c5bb2eb0cf8d895af9c3786137bd0031b2c6af5e0f33a0dc3412764bd5e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04392",
    "kind": "arxiv",
    "version": 3
  }
}