Pith Number

pith:J53FARGO

pith:2026:J53FARGOYZXS6DKXUBANY4FKUM

not attested not anchored not stored refs pending

Duality theory for categorical theories

Lingyuan Ye

arxiv:2605.22071 v1 · 2026-05-21 · math.CT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J53FARGOYZXS6DKXUBANY4FKUM}

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	2026-05-22T01:04:23.732506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f765044cec66f2f0d57a040dc70aaa31da8990a78551eba61dd8ddfbab1efe4

Aliases

arxiv: 2605.22071 · arxiv_version: 2605.22071v1 · doi: 10.48550/arxiv.2605.22071 · pith_short_12: J53FARGOYZXS · pith_short_16: J53FARGOYZXS6DKX · pith_short_8: J53FARGO

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/J53FARGOYZXS6DKXUBANY4FKUM \
  | 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: 4f765044cec66f2f0d57a040dc70aaa31da8990a78551eba61dd8ddfbab1efe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b26566170db860e7fb873c28487d744b2d4e13757b7e3ed51cf61132c67ca6d",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-05-21T07:09:50Z",
    "title_canon_sha256": "3280e341733db43331769259115ead5003431f1483408a0e78bee65d68059004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22071",
    "kind": "arxiv",
    "version": 1
  }
}