Pith Number

pith:PVTRYKVY

pith:2009:PVTRYKVYFNX6UKD3ZKHIWZSAKS

not attested not anchored not stored refs pending

On Combinatorial Expansions of Conformal Blocks

A.Marshakov, A.Mironov, A. Morozov

arxiv:0907.3946 v2 · 2009-07-23 · 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{PVTRYKVYFNX6UKD3ZKHIWZSAKS}

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	2026-05-18T04:33:18.181202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d671c2ab82b6fea287bca8e8b664054baa07571e41156f41f2c260ba3533f6a

Aliases

arxiv: 0907.3946 · arxiv_version: 0907.3946v2 · doi: 10.48550/arxiv.0907.3946 · pith_short_12: PVTRYKVYFNX6 · pith_short_16: PVTRYKVYFNX6UKD3 · pith_short_8: PVTRYKVY

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/PVTRYKVYFNX6UKD3ZKHIWZSAKS \
  | 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: 7d671c2ab82b6fea287bca8e8b664054baa07571e41156f41f2c260ba3533f6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b699477d03230df72ade80a8d2fcd5d1aec78af43efcb6cf12831e5d5cda32c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-07-23T12:27:37Z",
    "title_canon_sha256": "2cddb50278b3366915d9ddfd14db7c6f62f5cdc9c127a2daa186abcb6da4d3ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3946",
    "kind": "arxiv",
    "version": 2
  }
}