Pith Number

pith:OCGSSVMN

pith:2025:OCGSSVMNMWYBVOZ2XS6NDPEU3J

not attested not anchored not stored refs pending

Strata of Ecological Coexistence via Grassmannians

Georgy Scholten, Giulio Zucal, Kexin Wang, Pierre A. Haas, T\"urk\"u \"Ozl\"um \c{C}elik

arxiv:2509.00165 v1 · 2025-08-29 · 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{OCGSSVMNMWYBVOZ2XS6NDPEU3J}

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.

Cited by

1 paper in Pith

Elimination Without Eliminating: Computing Complements of Real Hypersurfaces Using Pseudo-Witness Sets

Receipt and verification

First computed	2026-07-05T12:02:10.573952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

708d29558d65b01abb3abcbcd1bc94da40efa3e9f4e3a04211a21445463509d8

Aliases

arxiv: 2509.00165 · arxiv_version: 2509.00165v1 · doi: 10.48550/arxiv.2509.00165 · pith_short_12: OCGSSVMNMWYB · pith_short_16: OCGSSVMNMWYBVOZ2 · pith_short_8: OCGSSVMN

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/OCGSSVMNMWYBVOZ2XS6NDPEU3J \
  | 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: 708d29558d65b01abb3abcbcd1bc94da40efa3e9f4e3a04211a21445463509d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea8bc3b6b5cbebcab18cba4040bac8ef657ef4ac2fdf3cd0b82252914394b304",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-29T18:05:55Z",
    "title_canon_sha256": "0b23af47b3145957c027a4e3d7335a3611e1b5c37c8a8fed5247e695e2389fe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00165",
    "kind": "arxiv",
    "version": 1
  }
}