Pith Number

pith:BZPHTF5M

pith:2021:BZPHTF5MKGSNGBCBCPTW5SDMQZ

not attested not anchored not stored refs pending

Duality in elliptic Ruijsenaars system and elliptic symmetric functions

A. Mironov, A. Morozov, Y. Zenkevich

arxiv:2103.02508 v2 · 2021-03-03 · 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{BZPHTF5MKGSNGBCBCPTW5SDMQZ}

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.

Cited by

2 papers in Pith

Integrable systems inspired by DAHA and DIM algebra: type $C^\vee C$ versus type $A$

Non-commutative creation operators for symmetric polynomials

Receipt and verification

First computed	2026-07-05T02:44:17.963033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e5e7997ac51a4d3044113e76ec86c867948f67581b883284b149318d0bed251

Aliases

arxiv: 2103.02508 · arxiv_version: 2103.02508v2 · doi: 10.48550/arxiv.2103.02508 · pith_short_12: BZPHTF5MKGSN · pith_short_16: BZPHTF5MKGSNGBCB · pith_short_8: BZPHTF5M

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/BZPHTF5MKGSNGBCBCPTW5SDMQZ \
  | 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: 0e5e7997ac51a4d3044113e76ec86c867948f67581b883284b149318d0bed251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e5cf0faa5f3289fc67de57c11f509a416a7c31282541ec27165df78a808a02",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-03-03T16:27:42Z",
    "title_canon_sha256": "71198bd328bc51821073d52b998e0dce3610ff1f78f6597c47f22888130d3415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.02508",
    "kind": "arxiv",
    "version": 2
  }
}