Pith Number

pith:5ITTMNWL

pith:2010:5ITTMNWL2NQXHODFQP5SK35LTB

not attested not anchored not stored refs pending

Level Sets of the Takagi Function: Local Level Sets

Jeffrey C. Lagarias, Zachary Maddock

arxiv:1009.0855 v7 · 2010-09-04 · 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{5ITTMNWL2NQXHODFQP5SK35LTB}

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	2026-05-18T03:40:38.867284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea273636cbd36173b86583fb256fab984be800a7bb1a0645ca6952eb6280d598

Aliases

arxiv: 1009.0855 · arxiv_version: 1009.0855v7 · doi: 10.48550/arxiv.1009.0855 · pith_short_12: 5ITTMNWL2NQX · pith_short_16: 5ITTMNWL2NQXHODF · pith_short_8: 5ITTMNWL

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/5ITTMNWL2NQXHODFQP5SK35LTB \
  | 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: ea273636cbd36173b86583fb256fab984be800a7bb1a0645ca6952eb6280d598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "570f472e454c8b8cafc6a4e75840085231a586ffe0cbd3495e8efc8c022c0cc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-04T17:49:17Z",
    "title_canon_sha256": "14311409ef67863be0ef9e3f88f2c1fbb5e87beb11e169ad57a8da09ddaebab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0855",
    "kind": "arxiv",
    "version": 7
  }
}