Pith Number

pith:VDLZOCSX

pith:2005:VDLZOCSXM5CIPNPYFPF3BDTZWH

not attested not anchored not stored refs pending

Tensor products and transferability of semilattices

Friedrich Wehrung (LMNO), George Gr\"atzer

arxiv:math/0501419 v1 · 2005-01-24 · 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{VDLZOCSXM5CIPNPYFPF3BDTZWH}

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	2026-05-18T01:08:51.396741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d7970a57674487b5f82bcbb08e79b1d2d30ff3e648ea686b4d40537241e90f

Aliases

arxiv: math/0501419 · arxiv_version: math/0501419v1 · doi: 10.48550/arxiv.math/0501419 · pith_short_12: VDLZOCSXM5CI · pith_short_16: VDLZOCSXM5CIPNPY · pith_short_8: VDLZOCSX

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/VDLZOCSXM5CIPNPYFPF3BDTZWH \
  | 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: a8d7970a57674487b5f82bcbb08e79b1d2d30ff3e648ea686b4d40537241e90f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "333bd050cb502e9b21ff8e5de9d3e4b5acd989c44318ef7821e381e0c6bf788c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GM",
    "submitted_at": "2005-01-24T17:06:57Z",
    "title_canon_sha256": "060b11b6daf4b8c3bf6a0d5bfb21d3f66afe4e4efb2fa0f15c679afbe2e38227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501419",
    "kind": "arxiv",
    "version": 1
  }
}