Pith Number

pith:UPJDK5E5

pith:2011:UPJDK5E5FQW6VU6VFB5O34KN2W

not attested not anchored not stored refs pending

A Minimum problem for finite sets of real numbers with non-negative sum

Caterina Nardi, Giampiero Chiaselotti, Giuseppe Marino

arxiv:1102.4761 v1 · 2011-02-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPJDK5E5FQW6VU6VFB5O34KN2W}

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	2026-05-18T04:28:07.424531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3d235749d2c2dead3d5287aedf14dd5ab121d54a3cd40d5c7432cc642c3e815

Aliases

arxiv: 1102.4761 · arxiv_version: 1102.4761v1 · doi: 10.48550/arxiv.1102.4761 · pith_short_12: UPJDK5E5FQW6 · pith_short_16: UPJDK5E5FQW6VU6V · pith_short_8: UPJDK5E5

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/UPJDK5E5FQW6VU6VFB5O34KN2W \
  | 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: a3d235749d2c2dead3d5287aedf14dd5ab121d54a3cd40d5c7432cc642c3e815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f304ba11422aa3875cdc6f9506db0654d6825f01df6a5d61a91d8eca549371d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-23T15:17:30Z",
    "title_canon_sha256": "fb91f6eb8f3a9647995b29fe9837ee04e8876b54f4357ed9760013ede418ffa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4761",
    "kind": "arxiv",
    "version": 1
  }
}