Pith Number

pith:3Z5PPT5Y

pith:2020:3Z5PPT5YTJNYRY6SZOA44HAY5F

not attested not anchored not stored refs pending

Enforcing exact physics in scientific machine learning: a data-driven exterior calculus on graphs

Andy Huang, Nathaniel Trask, Xiaozhe Hu

arxiv:2012.11799 v1 · 2020-12-22 · math.NA · cs.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Z5PPT5YTJNYRY6SZOA44HAY5F}

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	2026-07-05T02:01:21.275442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7af7cfb89a5b88e3d2cb81ce1c18e96d41a60006d1011a63f9ffb308388288

Aliases

arxiv: 2012.11799 · arxiv_version: 2012.11799v1 · doi: 10.48550/arxiv.2012.11799 · pith_short_12: 3Z5PPT5YTJNY · pith_short_16: 3Z5PPT5YTJNYRY6S · pith_short_8: 3Z5PPT5Y

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/3Z5PPT5YTJNYRY6SZOA44HAY5F \
  | 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: de7af7cfb89a5b88e3d2cb81ce1c18e96d41a60006d1011a63f9ffb308388288

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d4051fb9120c2b336fc7c1dea36b0feb8a903b708f120bd9b766afa778af9a4",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-12-22T02:37:23Z",
    "title_canon_sha256": "3c007bb177af8de9c1bec8b750793803f3f7da030ec331db1d648fbef91a29bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.11799",
    "kind": "arxiv",
    "version": 1
  }
}