Pith Number

pith:JDIAPJBZ

pith:2012:JDIAPJBZW7DZREIUEBAUFKKO7S

not attested not anchored not stored refs pending

Schauder Bases and Operator Theory

Bingzhe Hou, Geng Tian, Yang Cao

arxiv:1203.3603 v1 · 2012-03-16 · 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{JDIAPJBZW7DZREIUEBAUFKKO7S}

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	2026-05-18T03:59:50.495564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48d007a439b7c7989114204142a94efc993a30f5d9e0bf9446942d92ab1b7264

Aliases

arxiv: 1203.3603 · arxiv_version: 1203.3603v1 · doi: 10.48550/arxiv.1203.3603 · pith_short_12: JDIAPJBZW7DZ · pith_short_16: JDIAPJBZW7DZREIU · pith_short_8: JDIAPJBZ

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/JDIAPJBZW7DZREIUEBAUFKKO7S \
  | 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: 48d007a439b7c7989114204142a94efc993a30f5d9e0bf9446942d92ab1b7264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad0b507db0d6963fca0d89c6359ba1fd957a7aedc7fa8007bc8efa318d862196",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-16T02:27:38Z",
    "title_canon_sha256": "8b9b15001f0727ebc55c44d37e299689e1fc1a32ed9cf44d603795f972f04a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3603",
    "kind": "arxiv",
    "version": 1
  }
}