Pith Number

pith:HIPZACWY

pith:2012:HIPZACWY7SRFLF25Z7QBPIPRYJ

not attested not anchored not stored refs pending

Level sets of signed Takagi functions

Pieter C. Allaart

arxiv:1209.6120 v2 · 2012-09-27 · 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{HIPZACWY7SRFLF25Z7QBPIPRYJ}

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	2026-05-18T02:30:32.791378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a1f900ad8fca255975dcfe017a1f1c27c56161a5eb72ecbd715e29ee26dcc02

Aliases

arxiv: 1209.6120 · arxiv_version: 1209.6120v2 · doi: 10.48550/arxiv.1209.6120 · pith_short_12: HIPZACWY7SRF · pith_short_16: HIPZACWY7SRFLF25 · pith_short_8: HIPZACWY

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/HIPZACWY7SRFLF25Z7QBPIPRYJ \
  | 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: 3a1f900ad8fca255975dcfe017a1f1c27c56161a5eb72ecbd715e29ee26dcc02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afe31b6a8748e57d7aab6ff07631ffb71cb7eb347ab4cd36c1fd5bbcc29e7865",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-27T03:49:56Z",
    "title_canon_sha256": "b6e148ec107e59f0ee7e675612990dc2e67837168b675a345e973ef5c6cba9c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6120",
    "kind": "arxiv",
    "version": 2
  }
}