Pith Number

pith:GQ3RSYYB

pith:2016:GQ3RSYYBVUWC7Z642UCFRV7ZK7

not attested not anchored not stored refs pending

Minimizing the sum of projections of a finite set

Misha Rudnev, Vsevolod F. Lev

arxiv:1610.02504 v2 · 2016-10-08 · math.CO · math.MG · 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{GQ3RSYYBVUWC7Z642UCFRV7ZK7}

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	2026-05-18T01:00:52.385146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3437196301ad2c2fe7dcd50458d7f957f39c13048040f8070847ae41497ba0b8

Aliases

arxiv: 1610.02504 · arxiv_version: 1610.02504v2 · doi: 10.48550/arxiv.1610.02504 · pith_short_12: GQ3RSYYBVUWC · pith_short_16: GQ3RSYYBVUWC7Z64 · pith_short_8: GQ3RSYYB

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/GQ3RSYYBVUWC7Z642UCFRV7ZK7 \
  | 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: 3437196301ad2c2fe7dcd50458d7f957f39c13048040f8070847ae41497ba0b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb0af3ba3dc23d2792bdb9a7aea7f335e60a4e2ed39ee4cdff68b24ff5793ebd",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-08T09:19:27Z",
    "title_canon_sha256": "4c85debde07b9d684fed8135f8995b5020ccb350e79064e1ca101969f4866f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02504",
    "kind": "arxiv",
    "version": 2
  }
}