Pith Number

pith:XHMLRVME

pith:2023:XHMLRVMEH3WT2LILQFOYOQ6YAM

not attested not anchored not stored refs pending

Neural Injective Functions for Multisets, Measures and Graphs via a Finite Witness Theorem

Ilai Avni, Nadav Dym, Ravina Ravina, Steven J. Gortler, Tal Amir

arxiv:2306.06529 v2 · 2023-06-10 · 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{XHMLRVMEH3WT2LILQFOYOQ6YAM}

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	2026-07-05T07:06:29.906115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d8b8d5843eed3d2d0b815d8743d80311bc3f20956fee246c73c7be2a9448d0

Aliases

arxiv: 2306.06529 · arxiv_version: 2306.06529v2 · doi: 10.48550/arxiv.2306.06529 · pith_short_12: XHMLRVMEH3WT · pith_short_16: XHMLRVMEH3WT2LIL · pith_short_8: XHMLRVME

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/XHMLRVMEH3WT2LILQFOYOQ6YAM \
  | 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: b9d8b8d5843eed3d2d0b815d8743d80311bc3f20956fee246c73c7be2a9448d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125372a38e5f9a8b416620c6fb11aafd98c583ced2b93a1e8e7288da0556a082",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-06-10T21:55:28Z",
    "title_canon_sha256": "8196283104d759fd868ce760214bc6208985ce614bf05350f2a03386a3ecb520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.06529",
    "kind": "arxiv",
    "version": 2
  }
}