Pith Number

pith:R42P24MU

pith:2025:R42P24MUAUCXEHNM2NQRF2A7I4

not attested not anchored not stored refs pending

E-Gen: Leveraging E-Graphs to Improve Continuous Representations of Symbolic Expressions

Hongbo Zheng, Neeraj Gangwar, Nickvash Kani, Suyuan Wang

arxiv:2501.14951 v2 · 2025-01-24 · cs.LG · cs.CL · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R42P24MUAUCXEHNM2NQRF2A7I4}

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	2026-07-05T10:27:24.117436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f34fd71940505721dacd36112e81f47031af49c68e55f8e04917fb3cf2df808

Aliases

arxiv: 2501.14951 · arxiv_version: 2501.14951v2 · doi: 10.48550/arxiv.2501.14951 · pith_short_12: R42P24MUAUCX · pith_short_16: R42P24MUAUCXEHNM · pith_short_8: R42P24MU

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/R42P24MUAUCXEHNM2NQRF2A7I4 \
  | 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: 8f34fd71940505721dacd36112e81f47031af49c68e55f8e04917fb3cf2df808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07da6c361ff7575cadddecb4e1ad30a7be86cb11a9f2813901c96e9ef9d88b35",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-24T22:39:08Z",
    "title_canon_sha256": "f27d25b368ca3bd7234839d129f9dbddbc75cd300c6455f30dc3e6946e48a242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.14951",
    "kind": "arxiv",
    "version": 2
  }
}