Pith Number

pith:MXMZTIFC

pith:2025:MXMZTIFCHU6RUS5IMAQTPNQACH

not attested not anchored not stored refs pending

Old and New on Strongly Subadditive/Superadditive Functions

Constantin P. Niculescu

arxiv:2501.13695 v1 · 2025-01-23 · math.FA · 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{MXMZTIFCHU6RUS5IMAQTPNQACH}

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.

Cited by

1 paper in Pith

Physics-driven Comparative Analysis of Various Statistical Distance Metrics and Normalizing Functions

Receipt and verification

First computed	2026-07-05T10:04:32.727769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d999a0a23d3d1a4ba8602137b60011d8a518e35d63fc604323d6c542777e7b

Aliases

arxiv: 2501.13695 · arxiv_version: 2501.13695v1 · doi: 10.48550/arxiv.2501.13695 · pith_short_12: MXMZTIFCHU6R · pith_short_16: MXMZTIFCHU6RUS5I · pith_short_8: MXMZTIFC

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/MXMZTIFCHU6RUS5IMAQTPNQACH \
  | 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: 65d999a0a23d3d1a4ba8602137b60011d8a518e35d63fc604323d6c542777e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230994030a5a5fa4d2719baa5173d62c73fea8adadbc09f3b690bfd9b5d4928f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-01-23T14:23:07Z",
    "title_canon_sha256": "e76e8a7875b2630120bf6d90a6acaad82684005215e1f61e49e01c3948ddff5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13695",
    "kind": "arxiv",
    "version": 1
  }
}