Pith Number

pith:ZGA2TBIJ

pith:2015:ZGA2TBIJLZCR7YBCKS46RAEBFT

not attested not anchored not stored refs pending

Topological categories, quantaloids and Isbell adjunctions

Lili Shen, Walter Tholen

arxiv:1501.00703 v3 · 2015-01-04 · math.CT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGA2TBIJLZCR7YBCKS46RAEBFT}

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	2026-05-18T01:20:26.327870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c981a985095e451fe02254b9e880812ceaef81b57cf6dfd865b2c610d4b5cb41

Aliases

arxiv: 1501.00703 · arxiv_version: 1501.00703v3 · doi: 10.48550/arxiv.1501.00703 · pith_short_12: ZGA2TBIJLZCR · pith_short_16: ZGA2TBIJLZCR7YBC · pith_short_8: ZGA2TBIJ

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/ZGA2TBIJLZCR7YBCKS46RAEBFT \
  | 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: c981a985095e451fe02254b9e880812ceaef81b57cf6dfd865b2c610d4b5cb41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4153d16a02119a68fc7d4cd307a8b16784f9c34a39386d47d4f16f50d428557",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-01-04T18:32:50Z",
    "title_canon_sha256": "10857d04466e3407554cef7b0fb7759fbea17586a8ed6c73bf96919f738e4f01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00703",
    "kind": "arxiv",
    "version": 3
  }
}