Pith Number

pith:P5PJABZE

pith:2025:P5PJABZEYQ7I6F6SFBWD4B6T7N

not attested not anchored not stored refs pending

Approaching the Continuous from the Discrete: an Infinite Tensor Product Construction

Antonio Lorenzin, Fabio Zanasi

arxiv:2510.14716 v3 · 2025-10-16 · math.CT · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5PJABZEYQ7I6F6SFBWD4B6T7N}

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	2026-05-20T00:00:26.196481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f5e900724c43e8f17d2286c3e07d3fb73730644d22818dc8cc9c847a4101b78

Aliases

arxiv: 2510.14716 · arxiv_version: 2510.14716v3 · doi: 10.48550/arxiv.2510.14716 · pith_short_12: P5PJABZEYQ7I · pith_short_16: P5PJABZEYQ7I6F6S · pith_short_8: P5PJABZE

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/P5PJABZEYQ7I6F6SFBWD4B6T7N \
  | 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: 7f5e900724c43e8f17d2286c3e07d3fb73730644d22818dc8cc9c847a4101b78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a17d9d3121d89eca7265a80beaa45e9629d586b4ac9f8684360fab870c0a2d0",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-10-16T14:16:19Z",
    "title_canon_sha256": "1117c1878f5440da9dcec4aac5e2d78a350d610c58e4a230117f216eddb8e89f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.14716",
    "kind": "arxiv",
    "version": 3
  }
}