Pith Number

pith:GWBCC2PG

pith:2012:GWBCC2PGHYTCEHHR3I7O4536FM

not attested not anchored not stored refs pending

Pointwise estimates for B-spline Gram matrix inverses

Markus Passenbrunner

arxiv:1212.2777 v4 · 2012-12-12 · 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{GWBCC2PGHYTCEHHR3I7O4536FM}

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	2026-05-18T03:06:13.618727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35822169e63e26221cf1da3eee777e2b15172af858e523c09d867fc45b574b46

Aliases

arxiv: 1212.2777 · arxiv_version: 1212.2777v4 · doi: 10.48550/arxiv.1212.2777 · pith_short_12: GWBCC2PGHYTC · pith_short_16: GWBCC2PGHYTCEHHR · pith_short_8: GWBCC2PG

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/GWBCC2PGHYTCEHHR3I7O4536FM \
  | 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: 35822169e63e26221cf1da3eee777e2b15172af858e523c09d867fc45b574b46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfee0e8748e2fd8b0e9b97e4e062f9b195e056c1bcc7694496aa30e517fc6041",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-12T11:36:56Z",
    "title_canon_sha256": "2b96629ab3bbe713d0ca6d3476a7478e6bd813f3e210fa0220b33f5702131de1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2777",
    "kind": "arxiv",
    "version": 4
  }
}