Pith Number

pith:JABM7REF

pith:2021:JABM7REFKSBD5GHHE6AEYEIUPW

not attested not anchored not stored refs pending

Takagi Function Identities on Dyadic Rationals

Laura Monroe

arxiv:2111.05996 v3 · 2021-11-11 · math.CO · cs.DS · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JABM7REFKSBD5GHHE6AEYEIUPW}

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	2026-07-05T08:51:39.431728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4802cfc48554823e98e727804c11147d9df555ed9abfaf796832e41fd99c1b82

Aliases

arxiv: 2111.05996 · arxiv_version: 2111.05996v3 · doi: 10.48550/arxiv.2111.05996 · pith_short_12: JABM7REFKSBD · pith_short_16: JABM7REFKSBD5GHH · pith_short_8: JABM7REF

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/JABM7REFKSBD5GHHE6AEYEIUPW \
  | 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: 4802cfc48554823e98e727804c11147d9df555ed9abfaf796832e41fd99c1b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f32941931a940813ab4b18de5cf73107a70ce9e8f3c36c9e01e22047d7ff62",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-11-11T00:10:55Z",
    "title_canon_sha256": "f4d71776af89524813937fd651631390b6f0455d434082279c4c25a2aa0eeaea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05996",
    "kind": "arxiv",
    "version": 3
  }
}