Pith Number

pith:EKNKWZZO

pith:2014:EKNKWZZOASLKDUWZHU5CKOVGVK

not attested not anchored not stored refs pending

The linearity of traces in monoidal categories and bicategories

Kate Ponto, Michael Shulman

arxiv:1406.7854 v1 · 2014-06-30 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EKNKWZZOASLKDUWZHU5CKOVGVK}

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.

Cited by

1 paper in Pith

Iterated chromatic localisation

Receipt and verification

First computed	2026-05-18T02:48:44.006880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

229aab672e0496a1d2d93d3a253aa6aa8cf7e9e7670e3a4f0b51fc0578a3c9aa

Aliases

arxiv: 1406.7854 · arxiv_version: 1406.7854v1 · doi: 10.48550/arxiv.1406.7854 · pith_short_12: EKNKWZZOASLK · pith_short_16: EKNKWZZOASLKDUWZ · pith_short_8: EKNKWZZO

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/EKNKWZZOASLKDUWZHU5CKOVGVK \
  | 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: 229aab672e0496a1d2d93d3a253aa6aa8cf7e9e7670e3a4f0b51fc0578a3c9aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7cb7bdfaf8b02aa68d4a60cd04d80342d15c84fa5701d26afc6093c59903d2e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-06-30T18:58:15Z",
    "title_canon_sha256": "2d309ed16d603fbe38dc9e3269eaf05ffca1c9be3a79c7ee2ef524670933052f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7854",
    "kind": "arxiv",
    "version": 1
  }
}