Pith Number

pith:KWPURCDW

pith:2011:KWPURCDWEFDTNPJSFAS43IT6FD

not attested not anchored not stored refs pending

The generic differentiability of convex-concave functions: Characterization

Abbas Moameni

arxiv:1101.1972 v2 · 2011-01-10 · 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{KWPURCDWEFDTNPJSFAS43IT6FD}

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	2026-05-18T03:36:25.382858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

559f488876214736bd322825cda27e28ec81646736092662efef658215a3fc31

Aliases

arxiv: 1101.1972 · arxiv_version: 1101.1972v2 · doi: 10.48550/arxiv.1101.1972 · pith_short_12: KWPURCDWEFDT · pith_short_16: KWPURCDWEFDTNPJS · pith_short_8: KWPURCDW

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/KWPURCDWEFDTNPJSFAS43IT6FD \
  | 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: 559f488876214736bd322825cda27e28ec81646736092662efef658215a3fc31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0102573cd386e2e8df6bc9af76470c8987cf590cc6d29fbaa4313276605b5f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-10T21:16:24Z",
    "title_canon_sha256": "7357903046e5614a5685c73f6172599253c362b21eae71862b23687ac6b80efd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1972",
    "kind": "arxiv",
    "version": 2
  }
}