Pith Number

pith:EBJHSCCF

pith:2026:EBJHSCCFRJKRLQH6CF3ATNNRW2

not attested not anchored not stored refs pending

Moduli spaces of snc klt KSBA stable pairs are naturally of log general type

Sebastian Casalaina-Martin, Shend Zhjeqi

arxiv:2607.15203 v1 · 2026-07-16 · 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{EBJHSCCFRJKRLQH6CF3ATNNRW2}

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	2026-07-17T01:22:14.328746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20527908458a5515c0fe117609b5b1b6a5e58827e23863418199abdbaf295590

Aliases

arxiv: 2607.15203 · arxiv_version: 2607.15203v1 · doi: 10.48550/arxiv.2607.15203 · pith_short_12: EBJHSCCFRJKR · pith_short_16: EBJHSCCFRJKRLQH6 · pith_short_8: EBJHSCCF

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/EBJHSCCFRJKRLQH6CF3ATNNRW2 \
  | 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: 20527908458a5515c0fe117609b5b1b6a5e58827e23863418199abdbaf295590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34279cd7a58da0a4728d13b1f4b21d4ad14b515155a1e4b717393c5d54359afd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-16T17:00:01Z",
    "title_canon_sha256": "e75c8b7b4b2315084f2213847a1639664986c1dbf3284168c9112f7e5743bb05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15203",
    "kind": "arxiv",
    "version": 1
  }
}