Pith Number

pith:L5AMFLTR

pith:2024:L5AMFLTRXDKUYORRMP5NMKXCY7

not attested not anchored not stored refs pending

Wall crossing for K-moduli space of degree 5 pairs

Long Pan

arxiv:2411.03985 v1 · 2024-11-06 · 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{L5AMFLTRXDKUYORRMP5NMKXCY7}

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	2026-07-05T09:31:59.063756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f40c2ae71b8d54c3a3163fad62ae2c7d45a44a73fdc0eeda960b5eec880441a

Aliases

arxiv: 2411.03985 · arxiv_version: 2411.03985v1 · doi: 10.48550/arxiv.2411.03985 · pith_short_12: L5AMFLTRXDKU · pith_short_16: L5AMFLTRXDKUYORR · pith_short_8: L5AMFLTR

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/L5AMFLTRXDKUYORRMP5NMKXCY7 \
  | 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: 5f40c2ae71b8d54c3a3163fad62ae2c7d45a44a73fdc0eeda960b5eec880441a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f2bb90e9c7e39062c252d0e111c232efe0c2c24f60dbccd851df598bd790866",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-11-06T15:24:42Z",
    "title_canon_sha256": "b2e4c2db5fd550025e140da922b6dda0aa2be07ca2e64ad3a1271e2af394167c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.03985",
    "kind": "arxiv",
    "version": 1
  }
}