Pith Number

pith:GG47XMW7

pith:2016:GG47XMW75VDQYVAIRRNNT4PBDU

not attested not anchored not stored refs pending

Hyperplane arrangements and tensor product invariants

Patrick Brosnan, Prakash Belkale, Swarnava Mukhopadhyay

arxiv:1611.01861 v2 · 2016-11-07 · math.AG · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GG47XMW75VDQYVAIRRNNT4PBDU}

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	2026-05-18T00:49:31.844559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b9fbb2dfed470c54088c5ad9f1e11d1130a4576102289897b8d9c5f80c7820

Aliases

arxiv: 1611.01861 · arxiv_version: 1611.01861v2 · doi: 10.48550/arxiv.1611.01861 · pith_short_12: GG47XMW75VDQ · pith_short_16: GG47XMW75VDQYVAI · pith_short_8: GG47XMW7

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/GG47XMW75VDQYVAIRRNNT4PBDU \
  | 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: 31b9fbb2dfed470c54088c5ad9f1e11d1130a4576102289897b8d9c5f80c7820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60226dc4877c99fdd7eae3281b6d6197d7a0ef08d95aafa20dd1e13de814caca",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-07T00:12:39Z",
    "title_canon_sha256": "1799119a2a3d2ca642675d7ede376f93e8721cd72144f2e8aa691071edb20aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01861",
    "kind": "arxiv",
    "version": 2
  }
}