Pith Number

pith:RPOFUCII

pith:2022:RPOFUCIIBR3TE4GQZ7QCBR2SHY

not attested not anchored not stored refs pending

Modular bootstrap for D4-D2-D0 indices on compact Calabi-Yau threefolds

Boris Pioline, Jan Manschot, Nava Gaddam, Sergei Alexandrov

arxiv:2204.02207 v4 · 2022-04-05 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPOFUCIIBR3TE4GQZ7QCBR2SHY}

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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

Mock modularity of Calabi-Yau threefolds

Receipt and verification

First computed	2026-07-05T09:30:48.132198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bdc5a09080c773270d0cfe020c7523e1a9dc1d49c5f34316c5a5a5b29214161

Aliases

arxiv: 2204.02207 · arxiv_version: 2204.02207v4 · doi: 10.48550/arxiv.2204.02207 · pith_short_12: RPOFUCIIBR3T · pith_short_16: RPOFUCIIBR3TE4GQ · pith_short_8: RPOFUCII

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/RPOFUCIIBR3TE4GQZ7QCBR2SHY \
  | 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: 8bdc5a09080c773270d0cfe020c7523e1a9dc1d49c5f34316c5a5a5b29214161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "965569b285690cba72fbec45826590a294aa83cadcc336af8c1cc073d3f07f62",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-04-05T13:35:36Z",
    "title_canon_sha256": "dd1a459b8e6343351f15477fcb52d99f4c531ea85bcd17ae527545643921f74c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.02207",
    "kind": "arxiv",
    "version": 4
  }
}