Pith Number

pith:BCHO64WU

pith:2016:BCHO64WUIBXD4VY23XVXQLWHQS

not attested not anchored not stored refs pending

Coends and the tensor product of $\mathcal{C}$-modules

Marco A. P\'erez

arxiv:1608.02828 v3 · 2016-08-09 · 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{BCHO64WUIBXD4VY23XVXQLWHQS}

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	2026-05-18T01:03:17.652527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

088eef72d4406e3e571addeb782ec784834de069b5afbed5fdeb5b89139924d8

Aliases

arxiv: 1608.02828 · arxiv_version: 1608.02828v3 · doi: 10.48550/arxiv.1608.02828 · pith_short_12: BCHO64WUIBXD · pith_short_16: BCHO64WUIBXD4VY2 · pith_short_8: BCHO64WU

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/BCHO64WUIBXD4VY23XVXQLWHQS \
  | 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: 088eef72d4406e3e571addeb782ec784834de069b5afbed5fdeb5b89139924d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17efba2e46c86298c1f8739ea02ec5513db94c44845cb597bd587fb1b7a89041",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-08-09T15:16:45Z",
    "title_canon_sha256": "d626470d80505140ba72f9ad34f2605323ce5468421387069578c37fd9395657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02828",
    "kind": "arxiv",
    "version": 3
  }
}