Pith Number

pith:4QYM7PHG

pith:2021:4QYM7PHG6ZAMUNNLRXE6FN2W7O

not attested not anchored not stored refs pending

Beltrami Flow and Neural Diffusion on Graphs

Benjamin Paul Chamberlain, Davide Eynard, Francesco Di Giovanni, James Rowbottom, Michael M Bronstein, Xiaowen Dong

arxiv:2110.09443 v1 · 2021-10-18 · cs.LG · cs.AI · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QYM7PHG6ZAMUNNLRXE6FN2W7O}

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	2026-07-05T03:23:28.344622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e430cfbce6f640ca35ab8dc9e2b756fb9f37872bd82d418b810af803ecb3359b

Aliases

arxiv: 2110.09443 · arxiv_version: 2110.09443v1 · doi: 10.48550/arxiv.2110.09443 · pith_short_12: 4QYM7PHG6ZAM · pith_short_16: 4QYM7PHG6ZAMUNNL · pith_short_8: 4QYM7PHG

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/4QYM7PHG6ZAMUNNLRXE6FN2W7O \
  | 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: e430cfbce6f640ca35ab8dc9e2b756fb9f37872bd82d418b810af803ecb3359b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2497fe0012b35c0e8515f555ce4b0b759c3f837d695216cf36d651953b755b35",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-10-18T16:23:38Z",
    "title_canon_sha256": "e2321ba9243069f724b92370b90ee63d98e14861e61cb43a0e795c2dd95d5fd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.09443",
    "kind": "arxiv",
    "version": 1
  }
}