Pith Number

pith:FUBLPABG

pith:2021:FUBLPABGRKEGI3PA53TPUTU5WC

not attested not anchored not stored refs pending

Learning Functional Priors and Posteriors from Data and Physics

George Em Karniadakis, Jose del Aguila Ferrandis, Liu Yang, Xuhui Meng, Zhiping Mao

arxiv:2106.05863 v1 · 2021-06-08 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUBLPABGRKEGI3PA53TPUTU5WC}

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	2026-07-05T04:03:47.294528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d02b780268a88646de0eee6fa4e9db0b880e6902cf1e1258d1772cf8e296998

Aliases

arxiv: 2106.05863 · arxiv_version: 2106.05863v1 · doi: 10.48550/arxiv.2106.05863 · pith_short_12: FUBLPABGRKEG · pith_short_16: FUBLPABGRKEGI3PA · pith_short_8: FUBLPABG

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/FUBLPABGRKEGI3PA53TPUTU5WC \
  | 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: 2d02b780268a88646de0eee6fa4e9db0b880e6902cf1e1258d1772cf8e296998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65ca03805e2c5f5577694cf97734cfe9dfcd4becb528cc44e06782f5a8eb1c55",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-06-08T03:03:24Z",
    "title_canon_sha256": "b16ea139010ef4376fa79967f05a6d6f46e00f17e56ed2405062cd0f376750d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.05863",
    "kind": "arxiv",
    "version": 1
  }
}