Pith Number

pith:WUMLGLCY

pith:2026:WUMLGLCYJRV4SCO4C3VPAHGYRB

not attested not anchored not stored refs pending

Cyclic Graphs and Memoization in Pure $\lambda$-Calculus

Bo Yang

arxiv:2606.22908 v1 · 2026-06-22 · cs.PL · 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{WUMLGLCYJRV4SCO4C3VPAHGYRB}

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	2026-06-23T03:14:03.896733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b518b32c584c6bc909dc16eaf01cd88853e10d5b5371a74a62affa4716989d76

Aliases

arxiv: 2606.22908 · arxiv_version: 2606.22908v1 · doi: 10.48550/arxiv.2606.22908 · pith_short_12: WUMLGLCYJRV4 · pith_short_16: WUMLGLCYJRV4SCO4 · pith_short_8: WUMLGLCY

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/WUMLGLCYJRV4SCO4C3VPAHGYRB \
  | 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: b518b32c584c6bc909dc16eaf01cd88853e10d5b5371a74a62affa4716989d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5e56f77a9850368024ac691dd689c68296255144502517c2083f9e6b4baea0",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2026-06-22T06:46:37Z",
    "title_canon_sha256": "50293008ffa55ed844ed6db4c9dfa2e17288bbb0f29f2a7acdafe3703f7aa181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22908",
    "kind": "arxiv",
    "version": 1
  }
}