Pith Number

pith:QKJKFBB7

pith:2012:QKJKFBB7UQPK2LNLCFAXJSJYHK

not attested not anchored not stored refs pending

On real part theorem for the higher derivatives of analytic functions in the unit disk

David Kalaj, Noam D. Elkies

arxiv:1202.2520 v5 · 2012-02-12 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKJKFBB7UQPK2LNLCFAXJSJYHK}

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	2026-05-18T03:33:14.229175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8292a2843fa41ead2dab114174c9383a9a340d59875ac31a18428edd63bb108f

Aliases

arxiv: 1202.2520 · arxiv_version: 1202.2520v5 · doi: 10.48550/arxiv.1202.2520 · pith_short_12: QKJKFBB7UQPK · pith_short_16: QKJKFBB7UQPK2LNL · pith_short_8: QKJKFBB7

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/QKJKFBB7UQPK2LNLCFAXJSJYHK \
  | 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: 8292a2843fa41ead2dab114174c9383a9a340d59875ac31a18428edd63bb108f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab1d8db90c1b1166fd13e44aade1c6d1c690540c053101370026c6da5a0980e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-02-12T11:44:06Z",
    "title_canon_sha256": "f36d27aeee885253140df39ab977aa9e0a09ea21128657e4c49ed7a5beda03b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2520",
    "kind": "arxiv",
    "version": 5
  }
}