Pith Number

pith:ZPBST7CV

pith:2015:ZPBST7CV53XHNT2IE4QDFP3MGC

not attested not anchored not stored refs pending

Relative symmetric monoidal closed categories I: Autoenrichment and change of base

Rory B. B. Lucyshyn-Wright

arxiv:1507.02220 v1 · 2015-07-08 · math.CT · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPBST7CV53XHNT2IE4QDFP3MGC}

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	2026-05-18T01:16:09.772184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc329fc55eeee76cf48272032bf6c3086252c6be55416925311483f234596b6

Aliases

arxiv: 1507.02220 · arxiv_version: 1507.02220v1 · doi: 10.48550/arxiv.1507.02220 · pith_short_12: ZPBST7CV53XH · pith_short_16: ZPBST7CV53XHNT2I · pith_short_8: ZPBST7CV

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/ZPBST7CV53XHNT2IE4QDFP3MGC \
  | 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: cbc329fc55eeee76cf48272032bf6c3086252c6be55416925311483f234596b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b65185439df3835175fa223594540297af3c00074421b0a65ce9e0f8d793a4",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-07-08T16:59:22Z",
    "title_canon_sha256": "cd1c99e71301aeaf8b767104a1c1bf3977c06fbb3cc1591f029c475ac23ec56f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02220",
    "kind": "arxiv",
    "version": 1
  }
}