Pith Number

pith:VUVW3RFH

pith:2011:VUVW3RFHZSXGFRLE6EWRJEBXL2

not attested not anchored not stored refs pending

Twisted elliptic genus for K3 and Borcherds product

Kazuhiro Hikami, Tohru Eguchi

arxiv:1112.5928 v2 · 2011-12-27 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUVW3RFHZSXGFRLE6EWRJEBXL2}

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	2026-05-18T03:38:02.925002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad2b6dc4a7ccae62c564f12d1490375e8e8585e43b0358f073b63fe40c19ffc5

Aliases

arxiv: 1112.5928 · arxiv_version: 1112.5928v2 · doi: 10.48550/arxiv.1112.5928 · pith_short_12: VUVW3RFHZSXG · pith_short_16: VUVW3RFHZSXGFRLE · pith_short_8: VUVW3RFH

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/VUVW3RFHZSXGFRLE6EWRJEBXL2 \
  | 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: ad2b6dc4a7ccae62c564f12d1490375e8e8585e43b0358f073b63fe40c19ffc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67bf88cd2b95516e1f9cd13fde8c60f6a645aeaed9e061407d104e4a9410afe9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-12-27T06:18:20Z",
    "title_canon_sha256": "a3ff22fc7291cbc3057769868539718469103ebebbcdf30101293e95e3ee56f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5928",
    "kind": "arxiv",
    "version": 2
  }
}