Pith Number

pith:J7NDTHKS

pith:2016:J7NDTHKS4DX47QEEXCUWYMTBH7

not attested not anchored not stored refs pending

Refined toric branes, surface operators and factorization of generalized Macdonald polynomials

Yegor Zenkevich

arxiv:1612.09570 v2 · 2016-12-30 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7NDTHKS4DX47QEEXCUWYMTBH7}

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	2026-05-18T00:32:14.123629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fda399d52e0efcfc084b8a96c32613ffeea22082cccaa51a0c7a9664cea1cad

Aliases

arxiv: 1612.09570 · arxiv_version: 1612.09570v2 · doi: 10.48550/arxiv.1612.09570 · pith_short_12: J7NDTHKS4DX4 · pith_short_16: J7NDTHKS4DX47QEE · pith_short_8: J7NDTHKS

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/J7NDTHKS4DX47QEEXCUWYMTBH7 \
  | 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: 4fda399d52e0efcfc084b8a96c32613ffeea22082cccaa51a0c7a9664cea1cad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d85780071c23c6f298f865541495f49facc3dbd25052df0fae458dbba0e09a7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-30T19:44:45Z",
    "title_canon_sha256": "4534d605a9a5dc3223ed0d0bd2b7d4461456920e8b1f952dd03a01bdebf30d3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09570",
    "kind": "arxiv",
    "version": 2
  }
}