Pith Number

pith:EQJ2LRSU

pith:2013:EQJ2LRSUHNDHAPL4NCSHYREMA4

not attested not anchored not stored refs pending

On sumsets and convex hull

Francisco Santos, Karoly Boroczky, Oriol Serra

arxiv:1307.6316 v1 · 2013-07-24 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQJ2LRSUHNDHAPL4NCSHYREMA4}

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	2026-05-18T01:21:16.455456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2413a5c6543b46703d7c68a47c448c07005d5540f2aa6163e20eb9b0a812b20c

Aliases

arxiv: 1307.6316 · arxiv_version: 1307.6316v1 · doi: 10.48550/arxiv.1307.6316 · pith_short_12: EQJ2LRSUHNDH · pith_short_16: EQJ2LRSUHNDHAPL4 · pith_short_8: EQJ2LRSU

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/EQJ2LRSUHNDHAPL4NCSHYREMA4 \
  | 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: 2413a5c6543b46703d7c68a47c448c07005d5540f2aa6163e20eb9b0a812b20c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50fb2564501687e730ec9dcd64cc006e7a6dfc68ac2585724edb55ffe6457665",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-24T07:56:04Z",
    "title_canon_sha256": "5f20699d74030d5b02eb0efa05baed03db066f30874e458d7ad87aab9bf063d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6316",
    "kind": "arxiv",
    "version": 1
  }
}