Pith Number

pith:YWZHN6KZ

pith:2007:YWZHN6KZRANSKLZWBOOSY5LKJL

not attested not anchored not stored refs pending

Limit distributions and scaling functions

Christoph Richard

arxiv:0704.0716 v4 · 2007-04-05 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWZHN6KZRANSKLZWBOOSY5LKJL}

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	2026-05-18T02:30:55.333570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5b276f959881b252f360b9d2c756a4aeda4a3f41f91621a1c4a7f3a491bee2c

Aliases

arxiv: 0704.0716 · arxiv_version: 0704.0716v4 · doi: 10.48550/arxiv.0704.0716 · pith_short_12: YWZHN6KZRANS · pith_short_16: YWZHN6KZRANSKLZW · pith_short_8: YWZHN6KZ

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/YWZHN6KZRANSKLZWBOOSY5LKJL \
  | 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: c5b276f959881b252f360b9d2c756a4aeda4a3f41f91621a1c4a7f3a491bee2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89b7b83283a9e905cf03c83f6061de01986efb8b8bf130284cb4dfd09ad271e0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2007-04-05T12:45:03Z",
    "title_canon_sha256": "1d11e722f0a92f2e8893f84c0b3133bcef66533128c90614423a8dc025753847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0716",
    "kind": "arxiv",
    "version": 4
  }
}