Pith Number

pith:63Z2Q4NM

pith:2016:63Z2Q4NMWABODFITXYCFPCABEJ

not attested not anchored not stored refs pending

On the tensor product of linear sites and Grothendieck categories

Boris Shoikhet, Julia Ramos Gonz\'alez, Wendy Lowen

arxiv:1607.03608 v3 · 2016-07-13 · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63Z2Q4NMWABODFITXYCFPCABEJ}

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	2026-05-18T00:48:42.580378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f3a871acb002e19513be04578801226a248562e43b2726796b903669aaf695

Aliases

arxiv: 1607.03608 · arxiv_version: 1607.03608v3 · doi: 10.48550/arxiv.1607.03608 · pith_short_12: 63Z2Q4NMWABO · pith_short_16: 63Z2Q4NMWABODFIT · pith_short_8: 63Z2Q4NM

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/63Z2Q4NMWABODFITXYCFPCABEJ \
  | 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: f6f3a871acb002e19513be04578801226a248562e43b2726796b903669aaf695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "085aab66c516ad67e605632e5ba676b92f4d5e79b0636f06c0af0b07d3248001",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-07-13T07:03:32Z",
    "title_canon_sha256": "d5092479c24b97ce0d5b526c20ab3e5be61f13066c44521c069198682fb62a25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03608",
    "kind": "arxiv",
    "version": 3
  }
}