Pith Number

pith:T42Z2AES

pith:2021:T42Z2AESBJZIARCO7XCMQ56RFI

not attested not anchored not stored refs pending

Cohomological DT invariants from localization

Pierre Descombes

arxiv:2106.02518 v2 · 2021-06-04 · math.AG · hep-th · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T42Z2AESBJZIARCO7XCMQ56RFI}

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

Mock modularity of Calabi-Yau threefolds

Receipt and verification

First computed	2026-07-05T03:55:27.391158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f359d00920a7280444efdc4c877d12a1056cf90590ee9e4e5b1c4b6b6e25595

Aliases

arxiv: 2106.02518 · arxiv_version: 2106.02518v2 · doi: 10.48550/arxiv.2106.02518 · pith_short_12: T42Z2AESBJZI · pith_short_16: T42Z2AESBJZIARCO · pith_short_8: T42Z2AES

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/T42Z2AESBJZIARCO7XCMQ56RFI \
  | 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: 9f359d00920a7280444efdc4c877d12a1056cf90590ee9e4e5b1c4b6b6e25595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7519ba8786b7414ed2a7f0ad771d0f06bcfe9e26e707aed38f4ad060746a5dd5",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-06-04T14:36:13Z",
    "title_canon_sha256": "749f6d4bf346d5efb7146362c851255d360203f07535c45c58b9f10e8d2ed23f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02518",
    "kind": "arxiv",
    "version": 2
  }
}