Pith Number

pith:DNPTFPMV

pith:2016:DNPTFPMVXHQL64V22B5DLD2LGE

not attested not anchored not stored refs pending

Towards a Constructive Version of Banaszczyk's Vector Balancing Theorem

Aleksandar Nikolov, Daniel Dadush, Shachar Lovett, Shashwat Garg

arxiv:1612.04304 v1 · 2016-12-13 · cs.DS · cs.CG · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNPTFPMVXHQL64V22B5DLD2LGE}

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	2026-05-18T00:55:04.868757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b5f32bd95b9e0bf72bad07a358f4b31252e4ce0e6f7fbf28971d89728f44eb9

Aliases

arxiv: 1612.04304 · arxiv_version: 1612.04304v1 · doi: 10.48550/arxiv.1612.04304 · pith_short_12: DNPTFPMVXHQL · pith_short_16: DNPTFPMVXHQL64V2 · pith_short_8: DNPTFPMV

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/DNPTFPMVXHQL64V22B5DLD2LGE \
  | 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: 1b5f32bd95b9e0bf72bad07a358f4b31252e4ce0e6f7fbf28971d89728f44eb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d29c52416d5ee354866bcee7564448295983f8689978f770b5e4282d7e0737b",
    "cross_cats_sorted": [
      "cs.CG",
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-12-13T18:12:44Z",
    "title_canon_sha256": "979cefb0e111e45544ad924106a4852953d895e3a7a93c3dfd7bc8cf48eb8739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04304",
    "kind": "arxiv",
    "version": 1
  }
}