Pith Number

pith:HXWPKIJJ

pith:2025:HXWPKIJJASBGFZUXUGLNMMQ6UV

not attested not anchored not stored refs pending

Degenerations of maps to projective spaces

Eduardo Esteves, Eduardo Vital, Piere Rodriguez

arxiv:2507.00901 v1 · 2025-07-01 · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXWPKIJJASBGFZUXUGLNMMQ6UV}

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	2026-07-05T11:30:16.958173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3decf52129048262e697a196d6321ea5512aa3973a05b49f0b31ea46f269a751

Aliases

arxiv: 2507.00901 · arxiv_version: 2507.00901v1 · doi: 10.48550/arxiv.2507.00901 · pith_short_12: HXWPKIJJASBG · pith_short_16: HXWPKIJJASBGFZUX · pith_short_8: HXWPKIJJ

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/HXWPKIJJASBGFZUXUGLNMMQ6UV \
  | 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: 3decf52129048262e697a196d6321ea5512aa3973a05b49f0b31ea46f269a751

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac196134bb611ebcf73c508fff53523ed61dffb85d1b2c0a2109952517247464",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-01T16:05:17Z",
    "title_canon_sha256": "02e76c47f9dc0273b055c88bc9aea2c5d55bb438ac5b1288dee39265e635192a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00901",
    "kind": "arxiv",
    "version": 1
  }
}