Pith Number

pith:DIE34DSB

pith:2021:DIE34DSBU7JZLQ3GZPZRRQLQIY

not attested not anchored not stored refs pending

NumGPT: Improving Numeracy Ability of Generative Pre-trained Models

Huamin Qu, Qun Liu, Xiaozhe Ren, Xingbo Wang, Xin Jiang, Yong Wang, Zhihua Jin

arxiv:2109.03137 v2 · 2021-09-07 · cs.CL · cs.LG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIE34DSBU7JZLQ3GZPZRRQLQIY}

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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

Generative Optimization for Incentivized Advertising with Global Level Constraints

Receipt and verification

First computed	2026-07-05T03:22:23.942874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a09be0e41a7d395c366cbf318c170460b4540238596f4da091f9a27f00c2524

Aliases

arxiv: 2109.03137 · arxiv_version: 2109.03137v2 · doi: 10.48550/arxiv.2109.03137 · pith_short_12: DIE34DSBU7JZ · pith_short_16: DIE34DSBU7JZLQ3G · pith_short_8: DIE34DSB

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/DIE34DSBU7JZLQ3GZPZRRQLQIY \
  | 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: 1a09be0e41a7d395c366cbf318c170460b4540238596f4da091f9a27f00c2524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "336c79a35cf80ddafd2dbae3abff82a2d20e74494cc2daa3b831bbf47bb10465",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2021-09-07T15:06:12Z",
    "title_canon_sha256": "f2e1dcef318a2f3a5ef92a1a049d3aa9b5decb5a938f3a743f0ce4a3bdecff30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.03137",
    "kind": "arxiv",
    "version": 2
  }
}