Pith Number

pith:X34ISISX

pith:2019:X34ISISXYBPQHEROOWMXNCRSU2

not attested not anchored not stored refs pending

Sparsity of integer solutions in the average case

Joseph Paat, Robert Weismantel, Timm Oertel

arxiv:1907.07886 v1 · 2019-07-18 · 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{X34ISISXYBPQHEROOWMXNCRSU2}

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	2026-05-17T23:40:15.818942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bef8892257c05f03922e7599768a32a6adb0a26974fdb509234c11daaee17081

Aliases

arxiv: 1907.07886 · arxiv_version: 1907.07886v1 · doi: 10.48550/arxiv.1907.07886 · pith_short_12: X34ISISXYBPQ · pith_short_16: X34ISISXYBPQHERO · pith_short_8: X34ISISX

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/X34ISISXYBPQHEROOWMXNCRSU2 \
  | 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: bef8892257c05f03922e7599768a32a6adb0a26974fdb509234c11daaee17081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eb9aea1843dc52c82236a72d90fb1eb52ceee57d6d775cd418fd70b16ea6bb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-18T06:13:13Z",
    "title_canon_sha256": "06bd40e8465eb3d778c7d7ffbec04e1179b18e9cf585e4d260f2ab3e4b6e49c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07886",
    "kind": "arxiv",
    "version": 1
  }
}