Pith Number

pith:ST5YH6SW

pith:2010:ST5YH6SWTZ63RTRPESLXK7ISU3

not attested not anchored not stored refs pending

The Graph and Range Singularity Spectra of Random Wavelet Series built from Gibbs measures

Xiong Jin

arxiv:1001.4337 v1 · 2010-01-25 · 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{ST5YH6SWTZ63RTRPESLXK7ISU3}

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	2026-05-18T02:09:30.492303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94fb83fa569e7db8ce2f2497757d12a6c57b191469827923b99bf483bb09f2ba

Aliases

arxiv: 1001.4337 · arxiv_version: 1001.4337v1 · doi: 10.48550/arxiv.1001.4337 · pith_short_12: ST5YH6SWTZ63 · pith_short_16: ST5YH6SWTZ63RTRP · pith_short_8: ST5YH6SW

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/ST5YH6SWTZ63RTRPESLXK7ISU3 \
  | 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: 94fb83fa569e7db8ce2f2497757d12a6c57b191469827923b99bf483bb09f2ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7be0dc52c7b98e210d8101dd8ba2e1923151b31fe5771b1963eea2b0eca0cc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-01-25T08:07:32Z",
    "title_canon_sha256": "a954871402d67657907b060947edb636ad1758df63c5440663c7f866eec8ea1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4337",
    "kind": "arxiv",
    "version": 1
  }
}