Pith Number

pith:CA2WWD5W

pith:2025:CA2WWD5WOJ4EW7ZC2HLA2UJBP6

not attested not anchored not stored refs pending

The Shape of $\mathcal{EL}$ Proofs: A Tale of Three Calculi (Extended Version)

Christian Alrabbaa, Markus Kr\"otzsch, Philipp Herrmann, Stefan Borgwardt

arxiv:2507.21851 v1 · 2025-07-29 · cs.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{CA2WWD5WOJ4EW7ZC2HLA2UJBP6}

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.

Cited by

1 paper in Pith

Moose: Latent concept learning with reasoning-shortcut awareness in $\mathcal{EL}^{++}$

Receipt and verification

First computed	2026-07-05T11:45:08.764636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10356b0fb672784b7f22d1d60d51217fad16ada9abf985e0a5a9e9f762916205

Aliases

arxiv: 2507.21851 · arxiv_version: 2507.21851v1 · doi: 10.48550/arxiv.2507.21851 · pith_short_12: CA2WWD5WOJ4E · pith_short_16: CA2WWD5WOJ4EW7ZC · pith_short_8: CA2WWD5W

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/CA2WWD5WOJ4EW7ZC2HLA2UJBP6 \
  | 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: 10356b0fb672784b7f22d1d60d51217fad16ada9abf985e0a5a9e9f762916205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4db5100327683a8cd161e0c390e8f98c8514342e4541aead5aa688d3778c273f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2025-07-29T14:25:31Z",
    "title_canon_sha256": "a984eb9dc431791344306e1569af8cdd45a74254b591c64e41b04667bd562acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21851",
    "kind": "arxiv",
    "version": 1
  }
}