Pith Number

pith:PMACTVUJ

pith:2016:PMACTVUJ5DM5N6YMILWKQXWIJQ

not attested not anchored not stored refs pending

Compositions of Convex Functions and Fully Linear Models

Warren Hare

arxiv:1612.05190 v1 · 2016-12-15 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMACTVUJ5DM5N6YMILWKQXWIJQ}

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	2026-05-18T00:54:53.278352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b0029d689e8d9d6fb0c42eca85ec84c09c7620c3ddfc93f18d9c8a50e5d6887

Aliases

arxiv: 1612.05190 · arxiv_version: 1612.05190v1 · doi: 10.48550/arxiv.1612.05190 · pith_short_12: PMACTVUJ5DM5 · pith_short_16: PMACTVUJ5DM5N6YM · pith_short_8: PMACTVUJ

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/PMACTVUJ5DM5N6YMILWKQXWIJQ \
  | 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: 7b0029d689e8d9d6fb0c42eca85ec84c09c7620c3ddfc93f18d9c8a50e5d6887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e986d4c0606927c05e06c333276a4550eaec447f038e773269fa59e411b270a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-12-15T18:54:35Z",
    "title_canon_sha256": "8f710d8261afdc59bb52cf65ff7910ca0c6f68078d24e06139287f804caf4521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05190",
    "kind": "arxiv",
    "version": 1
  }
}