Pith Number

pith:GMFLSLGS

pith:2026:GMFLSLGST5U6FZZQF7DUICMJSV

not attested not anchored not stored refs pending

Stability conditions and moduli spaces on projective families

Alexander Perry, Chunyi Li, Emanuele Macr\`i, Paolo Stellari, Xiaolei Zhao, Zhiyu Liu, Ziqi Liu

arxiv:2607.28411 v1 · 2026-07-30 · 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{GMFLSLGST5U6FZZQF7DUICMJSV}

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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.

Receipt and verification

First computed	2026-07-31T01:37:33.964443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

330ab92cd29f69e2e7302fc7440989956c48c1207d9645c01f009366694a4de9

Aliases

arxiv: 2607.28411 · arxiv_version: 2607.28411v1 · doi: 10.48550/arxiv.2607.28411 · pith_short_12: GMFLSLGST5U6 · pith_short_16: GMFLSLGST5U6FZZQ · pith_short_8: GMFLSLGS

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/GMFLSLGST5U6FZZQF7DUICMJSV \
  | 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: 330ab92cd29f69e2e7302fc7440989956c48c1207d9645c01f009366694a4de9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb2bc0efc54e0cc4c4378fc9222a43516608e4aa2c563c1b7d0cf2b3daa3adf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-30T15:58:54Z",
    "title_canon_sha256": "7f28a3d6eef36b5168f4ac3a4c60ab1430e1a5d007aa8e8830cdfae3e44344dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28411",
    "kind": "arxiv",
    "version": 1
  }
}