Pith Number

pith:LMZEUVL6

pith:2008:LMZEUVL6T5DQDJAQKJBLM77KNI

not attested not anchored not stored refs pending

Representing geometric morphisms using power locale monads

Christopher Townsend

arxiv:0812.0287 v2 · 2008-12-01 · 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{LMZEUVL6T5DQDJAQKJBLM77KNI}

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	2026-05-18T03:52:12.799293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b324a557e9f4701a4105242b67fea6a3110fa0f24737f78bb51eb99cccc22fd

Aliases

arxiv: 0812.0287 · arxiv_version: 0812.0287v2 · doi: 10.48550/arxiv.0812.0287 · pith_short_12: LMZEUVL6T5DQ · pith_short_16: LMZEUVL6T5DQDJAQ · pith_short_8: LMZEUVL6

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/LMZEUVL6T5DQDJAQKJBLM77KNI \
  | 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: 5b324a557e9f4701a4105242b67fea6a3110fa0f24737f78bb51eb99cccc22fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6aeef7a666c9d665380cce5c19ebd727e126eb33c3b257aabe231b1e5fe425b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2008-12-01T13:13:53Z",
    "title_canon_sha256": "50c13cd4404de91e0eca6a34092cd8556bf8f82574670d75dfb14b7f35b195b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0287",
    "kind": "arxiv",
    "version": 2
  }
}