Pith Number

pith:O4ZCIFXZ

pith:2016:O4ZCIFXZKKKKAEDSBI7EFPPWUD

not attested not anchored not stored refs pending

Number Balancing is as hard as Minkowski's Theorem and Shortest Vector

Harishchandra Ramadas, Rebecca Hoberg, Thomas Rothvoss, Xin Yang

arxiv:1611.08757 v2 · 2016-11-26 · cs.DM · cs.CC · cs.CG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4ZCIFXZKKKKAEDSBI7EFPPWUD}

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	2026-05-18T00:56:18.839147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77322416f95294a010720a3e42bdf6a0f0f37388ca2e0bf48892512479d15e0f

Aliases

arxiv: 1611.08757 · arxiv_version: 1611.08757v2 · doi: 10.48550/arxiv.1611.08757 · pith_short_12: O4ZCIFXZKKKK · pith_short_16: O4ZCIFXZKKKKAEDS · pith_short_8: O4ZCIFXZ

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/O4ZCIFXZKKKKAEDSBI7EFPPWUD \
  | 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: 77322416f95294a010720a3e42bdf6a0f0f37388ca2e0bf48892512479d15e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25635afdcd646e2943a39c7bb86d8a88d4c8b53e1ac1395a4dafc0975377a94e",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CG",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-11-26T22:59:07Z",
    "title_canon_sha256": "db8052c2e3431aca0a6fb1b3fd02afcf9035b037f4deb4b34c37c6c566108c91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08757",
    "kind": "arxiv",
    "version": 2
  }
}