Pith Number

pith:2PN5NJRN

pith:2022:2PN5NJRNGGGH6HO5KZ7K56BDCX

not attested not anchored not stored refs pending

babble: Learning Better Abstractions with E-Graphs and Anti-Unification

Chandrakana Nandi, David Cao, Max Willsey, Nadia Polikarpova, Rose Kunkel, Zachary Tatlock

arxiv:2212.04596 v1 · 2022-12-08 · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PN5NJRNGGGH6HO5KZ7K56BDCX}

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	2026-07-05T05:23:49.503032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3dbd6a62d318c7f1ddd567eaef82315ec250891070038b9256d0ffb73848708

Aliases

arxiv: 2212.04596 · arxiv_version: 2212.04596v1 · doi: 10.48550/arxiv.2212.04596 · pith_short_12: 2PN5NJRNGGGH · pith_short_16: 2PN5NJRNGGGH6HO5 · pith_short_8: 2PN5NJRN

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/2PN5NJRNGGGH6HO5KZ7K56BDCX \
  | 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: d3dbd6a62d318c7f1ddd567eaef82315ec250891070038b9256d0ffb73848708

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "869e12d1d107d1f79580abf57f6d64c04812856d46d7cfe063a9796c5e6281d9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2022-12-08T23:00:08Z",
    "title_canon_sha256": "de1ed8fb08e7a01ba531ea84137e7761516640ffcfe9e2118acb3df87877ee7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.04596",
    "kind": "arxiv",
    "version": 1
  }
}