Pith Number

pith:TCUYHMQK

pith:1998:TCUYHMQKPKMZTWI6YBVTK4FXI7

not attested not anchored not stored refs pending

Canonical structure of renormalization group equations and separability of Hamiltonian systems

Yasusada Nambu, Yoshiyuki Y. Yamaguchi

arxiv:chao-dyn/9810010 v1 · 1998-10-07 · chao-dyn · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCUYHMQKPKMZTWI6YBVTK4FXI7}

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	2026-05-18T01:07:24.536859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a983b20a7a9999d91ec06b3570b747cf9e57cddcf6eabb47967159afeea3fc

Aliases

arxiv: chao-dyn/9810010 · arxiv_version: chao-dyn/9810010v1 · doi: 10.48550/arxiv.chao-dyn/9810010 · pith_short_12: TCUYHMQKPKMZ · pith_short_16: TCUYHMQKPKMZTWI6 · pith_short_8: TCUYHMQK

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/TCUYHMQKPKMZTWI6YBVTK4FXI7 \
  | 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: 98a983b20a7a9999d91ec06b3570b747cf9e57cddcf6eabb47967159afeea3fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b86389e05c6f3af02b56905ad73329a5a9e89d70b045a82c455bdda20d87689",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1998-10-07T08:37:20Z",
    "title_canon_sha256": "5ddd6cc2870336494cd89d0943d57c465316faffbb02f032968f3fdc4e9d8b3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9810010",
    "kind": "arxiv",
    "version": 1
  }
}