Pith Number

pith:FACHTKBI

pith:2019:FACHTKBIMRZKQQKOVWERGAGZI7

not attested not anchored not stored refs pending

A Categorical Approach to L-Convexity

Soichiro Fujii

arxiv:1904.08413 v1 · 2019-04-17 · math.CT · math.MG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FACHTKBIMRZKQQKOVWERGAGZI7}

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	2026-05-17T23:48:14.282322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

280479a8286472a8414ead891300d947dbbd0469389a1da1ffcde81ea173ed4e

Aliases

arxiv: 1904.08413 · arxiv_version: 1904.08413v1 · doi: 10.48550/arxiv.1904.08413 · pith_short_12: FACHTKBIMRZK · pith_short_16: FACHTKBIMRZKQQKO · pith_short_8: FACHTKBI

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/FACHTKBIMRZKQQKOVWERGAGZI7 \
  | 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: 280479a8286472a8414ead891300d947dbbd0469389a1da1ffcde81ea173ed4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ce5ffff3de779b45a79a89ee1b29b0c435be134b1079c0a749bcac33d600512",
    "cross_cats_sorted": [
      "math.MG",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-04-17T05:40:56Z",
    "title_canon_sha256": "010e26abe430bb03bf83e1a1873dafc78a324f364ddbcac0f9e6cd4573b1ac6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08413",
    "kind": "arxiv",
    "version": 1
  }
}