Pith Number

pith:C7V7NN47

pith:2019:C7V7NN474HIKK3HAXYWT2RQOAT

not attested not anchored not stored refs pending

Controlled objects as a symmetric monoidal functor

Luigi Caputi, Ulrich Bunke

arxiv:1902.03053 v1 · 2019-02-08 · math.KT · math.CT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7V7NN474HIKK3HAXYWT2RQOAT}

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	2026-07-05T06:41:42.463752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17ebf6b79fe1d0a56ce0be2d3d460e04ecf99d97407cebeb12cf28ae811c2d50

Aliases

arxiv: 1902.03053 · arxiv_version: 1902.03053v1 · doi: 10.48550/arxiv.1902.03053 · pith_short_12: C7V7NN474HIK · pith_short_16: C7V7NN474HIKK3HA · pith_short_8: C7V7NN47

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/C7V7NN474HIKK3HAXYWT2RQOAT \
  | 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: 17ebf6b79fe1d0a56ce0be2d3d460e04ecf99d97407cebeb12cf28ae811c2d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb07f8780a4a91059b3e8663dd37a7586913c4270f14cf182496fd06c3871a2e",
    "cross_cats_sorted": [
      "math.CT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-02-08T12:27:59Z",
    "title_canon_sha256": "e4fca6feacd1c2b3699080fb86bdd0c1a83b9960ac9b4ad94198974fd76eb7cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03053",
    "kind": "arxiv",
    "version": 1
  }
}