Pith Number

pith:W37TVZHK

pith:1999:W37TVZHK4I2RDUBN2UFXMOFS4X

not attested not anchored not stored refs pending

Renormalization-group Method for Reduction of Evolution Equations; invariant manifolds and envelopes

K. Fujii, S.-I. Ei, T. Kunihiro

arxiv:hep-th/9905088 v3 · 1999-05-13 · hep-th · cond-mat · gr-qc · hep-ph · math-ph · math.MP · nlin.PS · nlin.SI · patt-sol · solv-int

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W37TVZHK4I2RDUBN2UFXMOFS4X}

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	2026-05-18T01:05:54.985056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ff3ae4eae23511d02dd50b7638b2e5fa2b31d8da44a7654d54196beb00fee4

Aliases

arxiv: hep-th/9905088 · arxiv_version: hep-th/9905088v3 · doi: 10.48550/arxiv.hep-th/9905088 · pith_short_12: W37TVZHK4I2R · pith_short_16: W37TVZHK4I2RDUBN · pith_short_8: W37TVZHK

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/W37TVZHK4I2RDUBN2UFXMOFS4X \
  | 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: b6ff3ae4eae23511d02dd50b7638b2e5fa2b31d8da44a7654d54196beb00fee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9811b326585b78873849d97128cfc2d6e9b8acca0f82e186e201d9d5d64f9ae2",
    "cross_cats_sorted": [
      "cond-mat",
      "gr-qc",
      "hep-ph",
      "math-ph",
      "math.MP",
      "nlin.PS",
      "nlin.SI",
      "patt-sol",
      "solv-int"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-05-13T10:25:17Z",
    "title_canon_sha256": "d9067be9b9f7b85e93f20995f791553d2cfadf7aa4c1fda3933b5f70a78643e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9905088",
    "kind": "arxiv",
    "version": 3
  }
}