Pith Number

pith:O67NBPB4

pith:2026:O67NBPB4Y77JNGJF6ZEJBF4LGR

not attested not anchored not stored refs pending

A Mathematical Introduction to Diffusion Models

Jianfeng Lu

arxiv:2607.01693 v1 · 2026-07-02 · cs.LG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O67NBPB4Y77JNGJF6ZEJBF4LGR}

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	2026-07-03T01:17:26.929160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77bed0bc3cc7fe969925f64890978b346cbbead567937457659b56ff44696bb9

Aliases

arxiv: 2607.01693 · arxiv_version: 2607.01693v1 · doi: 10.48550/arxiv.2607.01693 · pith_short_12: O67NBPB4Y77J · pith_short_16: O67NBPB4Y77JNGJF · pith_short_8: O67NBPB4

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/O67NBPB4Y77JNGJF6ZEJBF4LGR \
  | 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: 77bed0bc3cc7fe969925f64890978b346cbbead567937457659b56ff44696bb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35f242109e7d97cf76d7bd3654fc3b6d2ee3e817b87a380f4107f034ffe85731",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-02T04:37:16Z",
    "title_canon_sha256": "14e7843e32ee6503e717564bf5b20a45a319996fc6d13aa5d6396adfa3551cf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01693",
    "kind": "arxiv",
    "version": 1
  }
}