Pith Number

pith:TP7IJ4KW

pith:2012:TP7IJ4KWTYC2LWYZ4RMMYIJNGZ

not attested not anchored not stored refs pending

De Branges' theorem on approximation problems of Bernstein type

Anton Baranov, Harald Woracek

arxiv:1207.5126 v1 · 2012-07-21 · math.CV · 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{TP7IJ4KWTYC2LWYZ4RMMYIJNGZ}

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	2026-05-18T03:50:24.495350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bfe84f1569e05a5db19e458cc212d364676d5dd4287743a71baa7cdae8c9b15

Aliases

arxiv: 1207.5126 · arxiv_version: 1207.5126v1 · doi: 10.48550/arxiv.1207.5126 · pith_short_12: TP7IJ4KWTYC2 · pith_short_16: TP7IJ4KWTYC2LWYZ · pith_short_8: TP7IJ4KW

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/TP7IJ4KWTYC2LWYZ4RMMYIJNGZ \
  | 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: 9bfe84f1569e05a5db19e458cc212d364676d5dd4287743a71baa7cdae8c9b15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b241fb6634ed44e6a52d8c1bcd0c8572a8bf29bc69ae6a0aca0c1db63ab72efd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-07-21T11:57:22Z",
    "title_canon_sha256": "c39aa9db7318397799afb4bec80dd23de0a60fc608a3f6c00ee6169f67a30c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5126",
    "kind": "arxiv",
    "version": 1
  }
}