Pith Number

pith:HKJGRTGF

pith:2026:HKJGRTGF5DBF47LGC6ICF46YA6

not attested not anchored not stored refs pending

Forward-mode automatic differentiation for the tensor renormalization group and its relation to the impurity method

Yuto Sugimoto

arxiv:2602.08987 v3 · 2026-02-09 · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKJGRTGF5DBF47LGC6ICF46YA6}

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	2026-06-09T01:05:14.118403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a9268ccc5e8c25e7d66179022f3d8078e9eb196881f860fbee9b2ccd77e837f

Aliases

arxiv: 2602.08987 · arxiv_version: 2602.08987v3 · doi: 10.48550/arxiv.2602.08987 · pith_short_12: HKJGRTGF5DBF · pith_short_16: HKJGRTGF5DBF47LG · pith_short_8: HKJGRTGF

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/HKJGRTGF5DBF47LGC6ICF46YA6 \
  | 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: 3a9268ccc5e8c25e7d66179022f3d8078e9eb196881f860fbee9b2ccd77e837f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7820751a0b1c58fb52b1d3cd14c2d7754258a30e28b9878e99ed969c40a9059c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2026-02-09T18:34:21Z",
    "title_canon_sha256": "1d3cab16d11a3bb4407dec5d672936ea91a20712787973eb49a50210a00b89b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.08987",
    "kind": "arxiv",
    "version": 3
  }
}