Pith Number

pith:QN4K2YXZ

pith:2026:QN4K2YXZGIG2ZG5UDBZETYQIDR

not attested not anchored not stored refs pending

Learning in Infinitesimal Non-Compositional Sketches

Sridhar Mahadevan

arxiv:2607.15107 v1 · 2026-07-16 · cs.LG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QN4K2YXZGIG2ZG5UDBZETYQIDR}

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	2026-07-17T01:22:09.755241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8378ad62f9320dac9bb4187249e2081c5226953cab40ee6e333457e494276ad2

Aliases

arxiv: 2607.15107 · arxiv_version: 2607.15107v1 · doi: 10.48550/arxiv.2607.15107 · pith_short_12: QN4K2YXZGIG2 · pith_short_16: QN4K2YXZGIG2ZG5U · pith_short_8: QN4K2YXZ

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/QN4K2YXZGIG2ZG5UDBZETYQIDR \
  | 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: 8378ad62f9320dac9bb4187249e2081c5226953cab40ee6e333457e494276ad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc03ffd98aebf674f4dd42c10960c8100a83499de09847c1f42b7500c3b75bf",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-16T15:18:58Z",
    "title_canon_sha256": "5f14aee53264a3dcd8a87cd10ba2dbf52406ab719f29876f391ea43c1b1a333c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15107",
    "kind": "arxiv",
    "version": 1
  }
}