Pith Number

pith:QEWR76AA

pith:2015:QEWR76AAK5JZQSSWHNTXR3W4SH

not attested not anchored not stored refs pending

On Mirror Symmetry for Calabi-Yau Fourfolds with Three-Form Cohomology

Sebastian Greiner, Thomas W. Grimm

arxiv:1512.04859 v1 · 2015-12-15 · 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{QEWR76AAK5JZQSSWHNTXR3W4SH}

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	2026-07-05T03:41:55.442342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

812d1ff8005753984a563b6778eedc91c6cb2f81acbf677a391bcea10c9acc56

Aliases

arxiv: 1512.04859 · arxiv_version: 1512.04859v1 · doi: 10.48550/arxiv.1512.04859 · pith_short_12: QEWR76AAK5JZ · pith_short_16: QEWR76AAK5JZQSSW · pith_short_8: QEWR76AA

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/QEWR76AAK5JZQSSWHNTXR3W4SH \
  | 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: 812d1ff8005753984a563b6778eedc91c6cb2f81acbf677a391bcea10c9acc56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "746e181ab1ae491468ee56f50417f36ac280a464c62f912dba92d60b3469fb9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-15T17:07:34Z",
    "title_canon_sha256": "6da997e29d517f2c0938ea4bfa9e4808ec83b27e3781b69c106bc35151f41aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04859",
    "kind": "arxiv",
    "version": 1
  }
}