Pith Number

pith:23KNWZGF

pith:2011:23KNWZGFG2P3WQJ4G73YOPDN2X

not attested not anchored not stored refs pending

On existence of certain error formulas for a special class of ideal projectors

Shugong Zhang, Tian Dong, Zhe Li

arxiv:1102.2473 v1 · 2011-02-12 · 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{23KNWZGFG2P3WQJ4G73YOPDN2X}

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	2026-05-18T04:28:47.321821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6d4db64c5369fbb413c37f7873c6dd5eea49fef96a4a46bffe6f410d0662790

Aliases

arxiv: 1102.2473 · arxiv_version: 1102.2473v1 · doi: 10.48550/arxiv.1102.2473 · pith_short_12: 23KNWZGFG2P3 · pith_short_16: 23KNWZGFG2P3WQJ4 · pith_short_8: 23KNWZGF

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/23KNWZGFG2P3WQJ4G73YOPDN2X \
  | 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: d6d4db64c5369fbb413c37f7873c6dd5eea49fef96a4a46bffe6f410d0662790

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "800a01d56ff99b29031c8f4d8f7a2fc5461ecb132c7f645cac2babf7d834a7ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-02-12T02:27:04Z",
    "title_canon_sha256": "9507d2af889078bff3450a652589066df56f4a562e5b0b8a837493a9bf9b06f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2473",
    "kind": "arxiv",
    "version": 1
  }
}