Pith Number

pith:6SAE2YCG

pith:2010:6SAE2YCGSYLXR3PLBDC3VUSIW2

not attested not anchored not stored refs pending

Level Sets of the Takagi Function: Generic Level Sets

Jeffrey C. Lagarias, Zachary Maddock

arxiv:1011.3183 v4 · 2010-11-14 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SAE2YCGSYLXR3PLBDC3VUSIW2}

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	2026-05-18T03:32:57.498942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4804d6046961778edeb08c5bad248b6ab3c82101641e0f3962a06fa9b9c7de2

Aliases

arxiv: 1011.3183 · arxiv_version: 1011.3183v4 · doi: 10.48550/arxiv.1011.3183 · pith_short_12: 6SAE2YCGSYLX · pith_short_16: 6SAE2YCGSYLXR3PL · pith_short_8: 6SAE2YCG

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/6SAE2YCGSYLXR3PLBDC3VUSIW2 \
  | 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: f4804d6046961778edeb08c5bad248b6ab3c82101641e0f3962a06fa9b9c7de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5fe2914f093e5e5857d5d7bf5016f531cbcee912df197608be21452d0dd9c7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-14T04:09:08Z",
    "title_canon_sha256": "17a28cf8490c9e2ed962ee72bbbdd088e1879985a9aa691465ef46a6ccff660c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3183",
    "kind": "arxiv",
    "version": 4
  }
}