Pith Number

pith:ZFGR43PI

pith:2016:ZFGR43PI3KYC4EGKNKDDPJS63B

not attested not anchored not stored refs pending

Quantum groups, Verma modules and $q$-oscillators: General linear case

A. V. Razumov, Kh. S. Nirov

arxiv:1610.02901 v2 · 2016-10-10 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFGR43PI3KYC4EGKNKDDPJS63B}

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	2026-05-18T00:39:01.802833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c94d1e6de8dab02e10ca6a8637a65ed878b523304c2b1623fc90f023cf4e788c

Aliases

arxiv: 1610.02901 · arxiv_version: 1610.02901v2 · doi: 10.48550/arxiv.1610.02901 · pith_short_12: ZFGR43PI3KYC · pith_short_16: ZFGR43PI3KYC4EGK · pith_short_8: ZFGR43PI

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/ZFGR43PI3KYC4EGKNKDDPJS63B \
  | 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: c94d1e6de8dab02e10ca6a8637a65ed878b523304c2b1623fc90f023cf4e788c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd093f4698f02c2012655790aa680a0cf6e292736b033a1b992a7bb5b60f256",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-10T13:21:59Z",
    "title_canon_sha256": "9bca9933c6a67188138807a0a534d55b31e7d5b3171eda91e20420e0935dd57b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02901",
    "kind": "arxiv",
    "version": 2
  }
}