Pith Number

pith:EZJ3WA3I

pith:2022:EZJ3WA3IW7EK6S3DU6LZ6HCXCL

not attested not anchored not stored refs pending

Betti numbers of real semistable degenerations via real logarithmic geometry

Emiliano Ambrosi, Matilde Manzaroli

arxiv:2211.12134 v1 · 2022-11-22 · 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{EZJ3WA3IW7EK6S3DU6LZ6HCXCL}

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

Filtrations of Tope Spaces of Oriented Matroids

Receipt and verification

First computed	2026-07-05T05:18:13.603615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2653bb0368b7c8af4b63a7979f1c5712da739422404b83e3809d6c2ee2007eeb

Aliases

arxiv: 2211.12134 · arxiv_version: 2211.12134v1 · doi: 10.48550/arxiv.2211.12134 · pith_short_12: EZJ3WA3IW7EK · pith_short_16: EZJ3WA3IW7EK6S3D · pith_short_8: EZJ3WA3I

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/EZJ3WA3IW7EK6S3DU6LZ6HCXCL \
  | 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: 2653bb0368b7c8af4b63a7979f1c5712da739422404b83e3809d6c2ee2007eeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a4baf593ca3764fce86f510cd3390fbecf89079ba9a9a3f3a0983e80096522",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-11-22T10:08:25Z",
    "title_canon_sha256": "51dcdf4681bff87081d3a976e9c9d2bb0263430e7ef5f2f338f8b6ba8d4579c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.12134",
    "kind": "arxiv",
    "version": 1
  }
}