Pith Number

pith:ZIW472V3

pith:2015:ZIW472V3LIVDIIEI22S7567LKK

not attested not anchored not stored refs pending

Bounded cosine functions close to continuous scalar bounded cosine functions

Jean Esterle (IMB)

arxiv:1502.00150 v3 · 2015-01-31 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIW472V3LIVDIIEI22S7567LKK}

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	2026-05-18T01:59:57.814718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca2dcfeabb5a2a342088d6a5fefbeb52923dc45e1895888d193ac5af2b17d731

Aliases

arxiv: 1502.00150 · arxiv_version: 1502.00150v3 · doi: 10.48550/arxiv.1502.00150 · pith_short_12: ZIW472V3LIVD · pith_short_16: ZIW472V3LIVDIIEI · pith_short_8: ZIW472V3

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/ZIW472V3LIVDIIEI22S7567LKK \
  | 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: ca2dcfeabb5a2a342088d6a5fefbeb52923dc45e1895888d193ac5af2b17d731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2e869d50d199c7787f2345793637e4d6593d14b3dcf78ced4db3692e71d8b52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-31T19:04:29Z",
    "title_canon_sha256": "d68bb0ff6a67267c476798d66634fd6f9db923c1f29a0debe960ed663a71981f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00150",
    "kind": "arxiv",
    "version": 3
  }
}