Pith Number

pith:BK6ES4KB

pith:2012:BK6ES4KBBY5LCHV7AYVMJBXNZI

not attested not anchored not stored refs pending

Schauder Bases and Operator Theory II: (SI) Schauder Operators

Geng Tian, Yang Cao, Youqing Ji

arxiv:1204.1587 v1 · 2012-04-07 · 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{BK6ES4KBBY5LCHV7AYVMJBXNZI}

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	2026-05-18T03:58:23.869236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0abc4971410e3ab11ebf062ac486edca2d206e0bb9feee6ba81b448f3622d29b

Aliases

arxiv: 1204.1587 · arxiv_version: 1204.1587v1 · doi: 10.48550/arxiv.1204.1587 · pith_short_12: BK6ES4KBBY5L · pith_short_16: BK6ES4KBBY5LCHV7 · pith_short_8: BK6ES4KB

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/BK6ES4KBBY5LCHV7AYVMJBXNZI \
  | 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: 0abc4971410e3ab11ebf062ac486edca2d206e0bb9feee6ba81b448f3622d29b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb6c0915944371870f957249ad03361f4af940d2659aa0c435a18462b386ae42",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-07T02:08:21Z",
    "title_canon_sha256": "14f8817a10223937063003acdc20919a88f1eb7edc5125dd85700257a856694c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1587",
    "kind": "arxiv",
    "version": 1
  }
}