Pith Number

pith:R3UT4UV4

pith:2013:R3UT4UV47HUSBSOURNRA2EUVOY

not attested not anchored not stored refs pending

Additive decompositions of sets with restricted prime factors

Adam J. Harper, Christian Elsholtz

arxiv:1309.0593 v1 · 2013-09-03 · math.NT · 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{R3UT4UV47HUSBSOURNRA2EUVOY}

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	2026-05-18T03:14:18.642048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee93e52bcf9e920c9d48b620d129576306a2bb2c22b7ec6abf4c1a7a347b8c1

Aliases

arxiv: 1309.0593 · arxiv_version: 1309.0593v1 · doi: 10.48550/arxiv.1309.0593 · pith_short_12: R3UT4UV47HUS · pith_short_16: R3UT4UV47HUSBSOU · pith_short_8: R3UT4UV4

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/R3UT4UV47HUSBSOURNRA2EUVOY \
  | 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: 8ee93e52bcf9e920c9d48b620d129576306a2bb2c22b7ec6abf4c1a7a347b8c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de7b17e2a4e1720103250b70f99876ae09603ac49c8eb7de1740f3065cb98771",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-03T06:31:33Z",
    "title_canon_sha256": "599a0c164b0c0dddfba5895df49717fc679da1a54621bc8039377e0a0ca07df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0593",
    "kind": "arxiv",
    "version": 1
  }
}