Pith Number

pith:5X5DFQ4E

pith:2010:5X5DFQ4EAEDFCDZ642KUMNVTPP

not attested not anchored not stored refs pending

A direct proof of AGT conjecture at beta = 1

A.Mironov, A.Morozov, Sh.Shakirov

arxiv:1012.3137 v1 · 2010-12-14 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5X5DFQ4EAEDFCDZ642KUMNVTPP}

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

1 paper in Pith

Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$

Receipt and verification

First computed	2026-05-18T04:26:34.396113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edfa32c3840106510f3ee6954636b37beb1a4575676dbd481e5e37e812f091df

Aliases

arxiv: 1012.3137 · arxiv_version: 1012.3137v1 · doi: 10.48550/arxiv.1012.3137 · pith_short_12: 5X5DFQ4EAEDF · pith_short_16: 5X5DFQ4EAEDFCDZ6 · pith_short_8: 5X5DFQ4E

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/5X5DFQ4EAEDFCDZ642KUMNVTPP \
  | 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: edfa32c3840106510f3ee6954636b37beb1a4575676dbd481e5e37e812f091df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d94eb8d8cc52b51ae8af68f6f505981a01039cefbea6fd67d5955f661452e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-14T19:11:05Z",
    "title_canon_sha256": "3cf472f0a8161ef92123d4290b502c4fe725630a66fd6665f69cfe197d6e2024"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3137",
    "kind": "arxiv",
    "version": 1
  }
}