Pith Number

pith:GHTSZXHL

pith:2023:GHTSZXHLGRBPSK44OTBFOIRPFL

not attested not anchored not stored refs pending

Left-exact Localizations of $\infty$-Topoi III: The Acyclic Product

Andr\'e Joyal, Eric Finster, Georg Biedermann, Mathieu Anel

arxiv:2308.15573 v3 · 2023-08-29 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHTSZXHLGRBPSK44OTBFOIRPFL}

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	2026-06-05T01:14:23.966294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e72cdceb3442f92b9c74c257222f2ac997f79138312f4cea69290d23a3fd29

Aliases

arxiv: 2308.15573 · arxiv_version: 2308.15573v3 · doi: 10.48550/arxiv.2308.15573 · pith_short_12: GHTSZXHLGRBP · pith_short_16: GHTSZXHLGRBPSK44 · pith_short_8: GHTSZXHL

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/GHTSZXHLGRBPSK44OTBFOIRPFL \
  | 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: 31e72cdceb3442f92b9c74c257222f2ac997f79138312f4cea69290d23a3fd29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0afe731a727c66f68a111a62a23f353215e38b32dca88c06629feb9a8cb882d1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-08-29T19:00:01Z",
    "title_canon_sha256": "827781685f677beee6d37f0b4163fde313d4fe0a8ecde1e321241f5ff2739242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.15573",
    "kind": "arxiv",
    "version": 3
  }
}