Pith Number

pith:CGRSEV6S

pith:2026:CGRSEV6SS77KTTQCLVN3YBRYK5

not attested not anchored not stored refs pending

Critical Organization of Deep Neural Networks, and p-Adic Statistical Field Theories

W. A. Z\'u\~niga-Galindo

arxiv:2601.19070 v2 · 2026-01-27 · 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{CGRSEV6SS77KTTQCLVN3YBRYK5}

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	2026-05-26T01:02:31.059105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a32257d297fea9ce025d5bbc0638577439358563a7d03246d6fef97ec61203

Aliases

arxiv: 2601.19070 · arxiv_version: 2601.19070v2 · doi: 10.48550/arxiv.2601.19070 · pith_short_12: CGRSEV6SS77K · pith_short_16: CGRSEV6SS77KTTQC · pith_short_8: CGRSEV6S

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/CGRSEV6SS77KTTQCLVN3YBRYK5 \
  | 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: 11a32257d297fea9ce025d5bbc0638577439358563a7d03246d6fef97ec61203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "942a101220bef043b5c406febd64a97b97301d202b3543a9ad96d4dfa276af24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-01-27T01:13:17Z",
    "title_canon_sha256": "d6be579fce696c842d7b63aa0f47b25a955fac1d3a895aedf0e90eb38faa14f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.19070",
    "kind": "arxiv",
    "version": 2
  }
}