Pith Number

pith:OILISXO3

pith:2014:OILISXO35XXIZRT7LD3UTJFE4C

not attested not anchored not stored refs pending

Orthogonal polynomials for Minkowski's question mark function

Walter Van Assche, Zo\'e Dresse

arxiv:1403.1374 v2 · 2014-03-06 · 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{OILISXO35XXIZRT7LD3UTJFE4C}

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	2026-05-18T02:23:27.230747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7216895ddbedee8cc67f58f749a4a4e0a09c43301b177861fa3efa0c87ae45a0

Aliases

arxiv: 1403.1374 · arxiv_version: 1403.1374v2 · doi: 10.48550/arxiv.1403.1374 · pith_short_12: OILISXO35XXI · pith_short_16: OILISXO35XXIZRT7 · pith_short_8: OILISXO3

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/OILISXO35XXIZRT7LD3UTJFE4C \
  | 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: 7216895ddbedee8cc67f58f749a4a4e0a09c43301b177861fa3efa0c87ae45a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ad4379328bfe4dc22305fefb6232c99608e24d0482dcec27db1999d4958eda4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-03-06T08:29:18Z",
    "title_canon_sha256": "9b4d818107217c93133cbb9fdf1b36bbfab9a61a727f806baf3224ed4b524bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1374",
    "kind": "arxiv",
    "version": 2
  }
}