Pith Number

pith:EKQ4GSMH

pith:2026:EKQ4GSMHFI4R2XIYZOQFAJHKHR

not attested not anchored not stored refs pending

Weighted projective degenerations of $\mathbb{P}^{n}$

Jennifer Li, Kristin DeVleming, Sebasti\'an Torres

arxiv:2606.21660 v1 · 2026-06-19 · 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{EKQ4GSMHFI4R2XIYZOQFAJHKHR}

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	2026-06-23T01:13:18.206396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22a1c349872a391d5d18cba05024ea3c601eed5c8db9f88efb32d6cce37eadf3

Aliases

arxiv: 2606.21660 · arxiv_version: 2606.21660v1 · doi: 10.48550/arxiv.2606.21660 · pith_short_12: EKQ4GSMHFI4R · pith_short_16: EKQ4GSMHFI4R2XIY · pith_short_8: EKQ4GSMH

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/EKQ4GSMHFI4R2XIYZOQFAJHKHR \
  | 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: 22a1c349872a391d5d18cba05024ea3c601eed5c8db9f88efb32d6cce37eadf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d6d401758a78e67b888db5a9d4b233de8132096415ebed1ac0295c9abd58986",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-19T18:06:06Z",
    "title_canon_sha256": "ca33ffef25f98fbe36d69ea27ad9b48c0c138584de48a52523e1e8f22712d8b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21660",
    "kind": "arxiv",
    "version": 1
  }
}