Pith Number

pith:FP2SD4XE

pith:2025:FP2SD4XERRMKXPF7RLZYFSABKF

not attested not anchored not stored refs pending

Is magnitude 'generically continuous' for finite metric spaces?

Emily Roff, Hirokazu Katsumasa, Masahiko Yoshinaga

arxiv:2501.08745 v2 · 2025-01-15 · math.MG · cs.CG · math.GN · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FP2SD4XERRMKXPF7RLZYFSABKF}

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

The microscopic weighting on a metric space

Receipt and verification

First computed	2026-07-05T10:05:16.422774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf521f2e48c58abbcbf8af382c8015178f85e6b31f18d036c37faec1cc45f8f

Aliases

arxiv: 2501.08745 · arxiv_version: 2501.08745v2 · doi: 10.48550/arxiv.2501.08745 · pith_short_12: FP2SD4XERRMK · pith_short_16: FP2SD4XERRMKXPF7 · pith_short_8: FP2SD4XE

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/FP2SD4XERRMKXPF7RLZYFSABKF \
  | 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: 2bf521f2e48c58abbcbf8af382c8015178f85e6b31f18d036c37faec1cc45f8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b202fe00ee7da53931e9151b48c7a221b9ac70611817af26a6b6b6047b823fa",
    "cross_cats_sorted": [
      "cs.CG",
      "math.GN",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-01-15T12:01:41Z",
    "title_canon_sha256": "df5d06662a7d8adcf0394fd8e3dd12479b38b1973e54b2f7e7cf53daa049f38f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.08745",
    "kind": "arxiv",
    "version": 2
  }
}