Pith Number

pith:YU5HNERY

pith:2014:YU5HNERYMAKKYFD3PHNY7Y2RZE

not attested not anchored not stored refs pending

Zero-two law for cosine families

Felix Schwenninger, Hans Zwart

arxiv:1402.1304 v3 · 2014-02-06 · 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{YU5HNERYMAKKYFD3PHNY7Y2RZE}

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	2026-05-18T01:03:44.670899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c53a7692386014ac147b79db8fe351c90db5d28a2359d33cae361f723fbeda66

Aliases

arxiv: 1402.1304 · arxiv_version: 1402.1304v3 · doi: 10.48550/arxiv.1402.1304 · pith_short_12: YU5HNERYMAKK · pith_short_16: YU5HNERYMAKKYFD3 · pith_short_8: YU5HNERY

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/YU5HNERYMAKKYFD3PHNY7Y2RZE \
  | 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: c53a7692386014ac147b79db8fe351c90db5d28a2359d33cae361f723fbeda66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd1837c6ef5be8dd364b9ad74929c9ad84b8e47cbb3d15ed360b43a252336b2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-06T10:23:37Z",
    "title_canon_sha256": "acb7192eec714c8cfc698b13be0dc3ad4fc710e65b0dff144e5e17b630fc896b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1304",
    "kind": "arxiv",
    "version": 3
  }
}