Pith Number

pith:AO32I6XS

pith:2015:AO32I6XSRRWBGHFLZPECV2CJBD

not attested not anchored not stored refs pending

On Equivalence of Anchored and ANOVA Spaces; Lower Bounds

Friedrich Pillichshammer, G. W. Wasilkowski, Peter Kritzer

arxiv:1511.05674 v1 · 2015-11-18 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AO32I6XSRRWBGHFLZPECV2CJBD}

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	2026-05-18T01:26:33.080304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b7a47af28c6c131cabcbc82ae84908e3fee056ed6ad6b205d09127baebf3c1

Aliases

arxiv: 1511.05674 · arxiv_version: 1511.05674v1 · doi: 10.48550/arxiv.1511.05674 · pith_short_12: AO32I6XSRRWB · pith_short_16: AO32I6XSRRWBGHFL · pith_short_8: AO32I6XS

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/AO32I6XSRRWBGHFLZPECV2CJBD \
  | 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: 03b7a47af28c6c131cabcbc82ae84908e3fee056ed6ad6b205d09127baebf3c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713c45b08c68f771ba27364f70483702e87f9a5f9278628d3d32e99643433b81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-18T07:14:48Z",
    "title_canon_sha256": "8d34cbe03dd1ca9935976764ccb94df5a8342d1906a1ba58107eff6b469a735a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05674",
    "kind": "arxiv",
    "version": 1
  }
}