Pith Number

pith:UGSN4JC4

pith:2014:UGSN4JC4DDCXY2AMHQD2LQYSRF

not attested not anchored not stored refs pending

Relative Convexity and Its Applications

Constantin P. Niculescu, Ionel Roventa

arxiv:1409.2772 v2 · 2014-09-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGSN4JC4DDCXY2AMHQD2LQYSRF}

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	2026-05-18T02:41:16.692704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1a4de245c18c57c680c3c07a5c312896f4fd24fc4cb6a3906909ebc1cff21ef

Aliases

arxiv: 1409.2772 · arxiv_version: 1409.2772v2 · doi: 10.48550/arxiv.1409.2772 · pith_short_12: UGSN4JC4DDCX · pith_short_16: UGSN4JC4DDCXY2AM · pith_short_8: UGSN4JC4

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/UGSN4JC4DDCXY2AMHQD2LQYSRF \
  | 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: a1a4de245c18c57c680c3c07a5c312896f4fd24fc4cb6a3906909ebc1cff21ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af88e18cf7284534f4158dc95f2c331723ff684eb6d44f34ced0bbe378d0b7d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-09-09T15:09:45Z",
    "title_canon_sha256": "8f40e8f27581b72db43e346c1a936c1629a53a03591c575c4e9013eb99c47a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2772",
    "kind": "arxiv",
    "version": 2
  }
}