Pith Number

pith:7S4JPWKE

pith:2005:7S4JPWKEUZ4O5MXH5V4EO2JQ5O

not attested not anchored not stored refs pending

Tensor products of semilattices with zero, revisited

Friedrich Wehrung (LMNO), George Gr\"atzer

arxiv:math/0501436 v1 · 2005-01-25 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7S4JPWKEUZ4O5MXH5V4EO2JQ5O}

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	2026-05-18T01:08:51.370767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcb897d944a678eeb2e7ed78476930eb84e7454b435971401e7bc820c59cdbdb

Aliases

arxiv: math/0501436 · arxiv_version: math/0501436v1 · doi: 10.48550/arxiv.math/0501436 · pith_short_12: 7S4JPWKEUZ4O · pith_short_16: 7S4JPWKEUZ4O5MXH · pith_short_8: 7S4JPWKE

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/7S4JPWKEUZ4O5MXH5V4EO2JQ5O \
  | 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: fcb897d944a678eeb2e7ed78476930eb84e7454b435971401e7bc820c59cdbdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "187fdc5ae9aaf78d583999dee8c57193670053b0ca3cc0f470b05070c6f3c3f0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GM",
    "submitted_at": "2005-01-25T08:31:49Z",
    "title_canon_sha256": "5154b7816b0d8ea757bfc617dd6c8e47b4233902b83751ab0116e05694a13bb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501436",
    "kind": "arxiv",
    "version": 1
  }
}