Pith Number

pith:NBDOAZCC

pith:2025:NBDOAZCCZNLHFTIAQPDZAE457J

not attested not anchored not stored refs pending

Quantum cohomology of variations of GIT quotients and flips

Song Yu, Tony Yue Yu, Zhaoxing Gu

arxiv:2508.15770 v1 · 2025-08-21 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBDOAZCCZNLHFTIAQPDZAE457J}

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	2026-07-05T11:57:18.582365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6846e06442cb5672cd0083c790139dfa7991504fcbc31f615b2da2334a12165e

Aliases

arxiv: 2508.15770 · arxiv_version: 2508.15770v1 · doi: 10.48550/arxiv.2508.15770 · pith_short_12: NBDOAZCCZNLH · pith_short_16: NBDOAZCCZNLHFTIA · pith_short_8: NBDOAZCC

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/NBDOAZCCZNLHFTIAQPDZAE457J \
  | 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: 6846e06442cb5672cd0083c790139dfa7991504fcbc31f615b2da2334a12165e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c97f92e72a10b7fad46c4d5a7502aa0365244e5a37373afd0ef7ddc6cf5a3c02",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-21T17:59:24Z",
    "title_canon_sha256": "0496ceaa0e7e42a34cc4bd414bf19c9d6ac33dd2dda3c275a82a3cda70b0f9fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15770",
    "kind": "arxiv",
    "version": 1
  }
}