Pith Number

pith:XJDXPHE3

pith:2013:XJDXPHE3LT4S7Q3XKIPTXTD36X

not attested not anchored not stored refs pending

On form factors and Macdonald polynomials

Michael Lashkevich, Mipt), Yaroslav Pugai (Landau Inst.

arxiv:1305.1674 v5 · 2013-05-07 · 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{XJDXPHE3LT4S7Q3XKIPTXTD36X}

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	2026-05-18T01:50:04.969292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba47779c9b5cf92fc377521f3bcc7bf5c07181ffe081c83aff6ee83f4aa55437

Aliases

arxiv: 1305.1674 · arxiv_version: 1305.1674v5 · doi: 10.48550/arxiv.1305.1674 · pith_short_12: XJDXPHE3LT4S · pith_short_16: XJDXPHE3LT4S7Q3X · pith_short_8: XJDXPHE3

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/XJDXPHE3LT4S7Q3XKIPTXTD36X \
  | 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: ba47779c9b5cf92fc377521f3bcc7bf5c07181ffe081c83aff6ee83f4aa55437

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c9b10933f3319634c9dbcdb9952e6a8e5ab86039dbe161c412e7c0c80e9260",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-05-07T22:57:48Z",
    "title_canon_sha256": "e96d46ddccd6660fbc859856540b1a189eeacc6161731793406ac386f860fde8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1674",
    "kind": "arxiv",
    "version": 5
  }
}