Pith Number

pith:HRNBZTFP

pith:2025:HRNBZTFPHISG5JDGOMGULKCXD4

not attested not anchored not stored refs pending

Directories: A Convenient and Well-Behaved Formalism for Hierarchical Organization in Categorical Systems Theory

Markus Lohmayer, Owen Lynch

arxiv:2504.19389 v2 · 2025-04-27 · 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{HRNBZTFPHISG5JDGOMGULKCXD4}

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	2026-07-05T10:55:35.743290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c5a1cccaf3a246ea466730d45a8571f3c3daf36b50ffca7f9f2de4769de6016

Aliases

arxiv: 2504.19389 · arxiv_version: 2504.19389v2 · doi: 10.48550/arxiv.2504.19389 · pith_short_12: HRNBZTFPHISG · pith_short_16: HRNBZTFPHISG5JDG · pith_short_8: HRNBZTFP

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/HRNBZTFPHISG5JDGOMGULKCXD4 \
  | 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: 3c5a1cccaf3a246ea466730d45a8571f3c3daf36b50ffca7f9f2de4769de6016

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdadbf877fbbc1db7d64628a5944e8b81dd631b1c3977c272b2b6e3fba8d997a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-04-27T23:34:38Z",
    "title_canon_sha256": "32882e7e98fe38868059e6f8a07e32c7f2f56a101dad435a746c79157b209f49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.19389",
    "kind": "arxiv",
    "version": 2
  }
}