Pith Number

pith:UF34RBHC

pith:2026:UF34RBHC65JY44DHLNOUBHJNLM

not attested not anchored not stored refs pending

Extremal Effective Cycles and Nef Line Bundles on \(\overline{\rm{M}}_{g,n}\)

Daebeom Choi

arxiv:2606.25576 v1 · 2026-06-24 · 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{UF34RBHC65JY44DHLNOUBHJNLM}

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	2026-06-25T01:18:09.292875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a177c884e2f7538e70675b5d409d2d5b2b427692abd6cced82864d31d7135ef1

Aliases

arxiv: 2606.25576 · arxiv_version: 2606.25576v1 · doi: 10.48550/arxiv.2606.25576 · pith_short_12: UF34RBHC65JY · pith_short_16: UF34RBHC65JY44DH · pith_short_8: UF34RBHC

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/UF34RBHC65JY44DHLNOUBHJNLM \
  | 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: a177c884e2f7538e70675b5d409d2d5b2b427692abd6cced82864d31d7135ef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f24219f73ba631eaf0a2b1cc33819b60cfcd62b4658f354f93c9a26f2dff72d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-24T08:48:54Z",
    "title_canon_sha256": "1fdc62bd82ffeb586c14baee0b177fa8856f7e8105f884dfd5eaa01f8bf5dcf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25576",
    "kind": "arxiv",
    "version": 1
  }
}