Pith Number

pith:CDAEUAVP

pith:2021:CDAEUAVP724EW2RE23DAXX7XYJ

not attested not anchored not stored refs pending

Virtual pullbacks in Donaldson-Thomas theory of Calabi-Yau 4-folds

Hyeonjun Park

arxiv:2110.03631 v1 · 2021-10-07 · 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{CDAEUAVP724EW2RE23DAXX7XYJ}

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

2 papers in Pith

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications

Shifted symplectic rigidification

Receipt and verification

First computed	2026-07-05T03:20:44.199838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10c04a02affeb84b6a24d6c60bdff7c24ef0f09d082df28cbf201560a7dd6880

Aliases

arxiv: 2110.03631 · arxiv_version: 2110.03631v1 · doi: 10.48550/arxiv.2110.03631 · pith_short_12: CDAEUAVP724E · pith_short_16: CDAEUAVP724EW2RE · pith_short_8: CDAEUAVP

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/CDAEUAVP724EW2RE23DAXX7XYJ \
  | 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: 10c04a02affeb84b6a24d6c60bdff7c24ef0f09d082df28cbf201560a7dd6880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4eab903589bb1d7ad3d645cf9b92bea5ec52b80922022c20024a041c0f2c714",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-10-07T17:19:03Z",
    "title_canon_sha256": "829b08a71cad39b46a7f5869b99ae7e457f79a46cd7047474fe38106171f394f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.03631",
    "kind": "arxiv",
    "version": 1
  }
}