Pith Number

pith:KT7C6ZM4

pith:2026:KT7C6ZM4YMESI5IJMFXHWC4U5U

not attested not anchored not stored refs pending

An exact information theory of generalization phase transitions in Bayesian diffusion models

Henry Hunt, Mason Kamb, Surya Ganguli

arxiv:2607.08041 v1 · 2026-07-09 · cs.LG · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KT7C6ZM4YMESI5IJMFXHWC4U5U}

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	2026-07-10T00:19:08.763936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54fe2f659cc309247509616e7b0b94ed243c47d32a37ddf7987671b12a281956

Aliases

arxiv: 2607.08041 · arxiv_version: 2607.08041v1 · doi: 10.48550/arxiv.2607.08041 · pith_short_12: KT7C6ZM4YMES · pith_short_16: KT7C6ZM4YMESI5IJ · pith_short_8: KT7C6ZM4

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/KT7C6ZM4YMESI5IJMFXHWC4U5U \
  | 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: 54fe2f659cc309247509616e7b0b94ed243c47d32a37ddf7987671b12a281956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920b6839ff7aee98596c2cc0b6c419ec34a21898ab993dd204cc010ba83c760a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-09T01:33:11Z",
    "title_canon_sha256": "d46f8a4e02465220fd31e999c929d8f8b4a7e52080d49dbc9f6794d165df36a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08041",
    "kind": "arxiv",
    "version": 1
  }
}