Pith Number

pith:IYIJ24RT

pith:2015:IYIJ24RTOOYVLVBUFV76OPXCF7

not attested not anchored not stored refs pending

Limits and colimits of quantaloid-enriched categories and their distributors

Lili Shen, Walter Tholen

arxiv:1504.03348 v2 · 2015-04-13 · 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{IYIJ24RTOOYVLVBUFV76OPXCF7}

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	2026-05-18T01:23:08.538321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46109d723373b155d4342d7fe73ee22fc72c74ae5f6827eb8e358075d491f8ce

Aliases

arxiv: 1504.03348 · arxiv_version: 1504.03348v2 · doi: 10.48550/arxiv.1504.03348 · pith_short_12: IYIJ24RTOOYV · pith_short_16: IYIJ24RTOOYVLVBU · pith_short_8: IYIJ24RT

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/IYIJ24RTOOYVLVBUFV76OPXCF7 \
  | 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: 46109d723373b155d4342d7fe73ee22fc72c74ae5f6827eb8e358075d491f8ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b47c1e26513ea54dad6fb4ef0ee1125dacfde963df63509e73ca18363056a1ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-04-13T20:11:40Z",
    "title_canon_sha256": "f7ffe782ff376ec877cbe19a153bb12d952c682e19a88516bf427320e851c4dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03348",
    "kind": "arxiv",
    "version": 2
  }
}