Pith Number

pith:YULUQVJV

pith:2014:YULUQVJVW2PSDOEDTN77RIIKEW

not attested not anchored not stored refs pending

The Unconditional Constants for Hilbert Space Frame Expansions

Peter G. Casazza, Richard G. Lynch, Travis Bemrose, Victor Kaftal

arxiv:1405.6656 v5 · 2014-05-26 · 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{YULUQVJVW2PSDOEDTN77RIIKEW}

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	2026-05-18T01:20:47.489917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c517485535b69f21b8839b7ff8a10a258b7d9aaef2ad3d4ad2d57aa5a260b42c

Aliases

arxiv: 1405.6656 · arxiv_version: 1405.6656v5 · doi: 10.48550/arxiv.1405.6656 · pith_short_12: YULUQVJVW2PS · pith_short_16: YULUQVJVW2PSDOED · pith_short_8: YULUQVJV

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/YULUQVJVW2PSDOEDTN77RIIKEW \
  | 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: c517485535b69f21b8839b7ff8a10a258b7d9aaef2ad3d4ad2d57aa5a260b42c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "260cc455430dc7e6788d258070f6da5ac3735a01fcb4ce832e00e3a479419c45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-05-26T17:30:00Z",
    "title_canon_sha256": "1d28bee8791078bdfe44946c0fbaaa085e8d9c5cd21a13c67c51863076eb9032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6656",
    "kind": "arxiv",
    "version": 5
  }
}