Pith Number

pith:N5X6MTCH

pith:2015:N5X6MTCHEZMNOM6A3Q5NAUKFZA

not attested not anchored not stored refs pending

Membership in moment polytopes is in NP and coNP

Ketan D. Mulmuley, Matthias Christandl, Michael Walter, Peter B\"urgisser

arxiv:1511.03675 v2 · 2015-11-11 · cs.CC · math-ph · math.MP · math.RT · math.SG · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N5X6MTCHEZMNOM6A3Q5NAUKFZA}

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	2026-05-18T00:41:48.044290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f6fe64c472658d733c0dc3ad05145c82607800b8781a68b8847cc457ace887d

Aliases

arxiv: 1511.03675 · arxiv_version: 1511.03675v2 · doi: 10.48550/arxiv.1511.03675 · pith_short_12: N5X6MTCHEZMN · pith_short_16: N5X6MTCHEZMNOM6A · pith_short_8: N5X6MTCH

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/N5X6MTCHEZMNOM6A3Q5NAUKFZA \
  | 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: 6f6fe64c472658d733c0dc3ad05145c82607800b8781a68b8847cc457ace887d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc7d177651b97d8e99b2dc750a09b70a608df4406be5db3c1fa370f61ee34d2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT",
      "math.SG",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-11-11T21:00:56Z",
    "title_canon_sha256": "0e238fafb77d06581973280a6f5ae3c3f1a63e8ea8d7d43e6797878b8ad1be56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03675",
    "kind": "arxiv",
    "version": 2
  }
}