Pith Number

pith:ECZWFM5Q

pith:1996:ECZWFM5QUVMJKFSA3V2LZKUBP6

not attested not anchored not stored refs pending

The periodic points of renormalization

Marco Martens

arxiv:math/9604235 v1 · 1996-04-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECZWFM5QUVMJKFSA3V2LZKUBP6}

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	2026-05-18T01:05:47.567504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b362b3b0a558951640dd74bcaa817fba4178412527155b577c5b60c25ab710

Aliases

arxiv: math/9604235 · arxiv_version: math/9604235v1 · doi: 10.48550/arxiv.math/9604235 · pith_short_12: ECZWFM5QUVMJ · pith_short_16: ECZWFM5QUVMJKFSA · pith_short_8: ECZWFM5Q

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/ECZWFM5QUVMJKFSA3V2LZKUBP6 \
  | 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: 20b362b3b0a558951640dd74bcaa817fba4178412527155b577c5b60c25ab710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c55ab1117e69aac8c111411f63a9ebc43c218ed8536d3ee9bc948a074182e3d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1996-04-15T00:00:00Z",
    "title_canon_sha256": "47719042f1b4a23ec93663d716e8b8127456179cc336c41009775315ed728580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9604235",
    "kind": "arxiv",
    "version": 1
  }
}