Pith Number

pith:RDMUCA6L

pith:2024:RDMUCA6LM4UKTTU6PNQIOVQB2L

not attested not anchored not stored refs pending

Strange shadows of $\ell_p$-balls

Mathias Sonnleitner, Zakhar Kabluchko

arxiv:2412.17475 v1 · 2024-12-23 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RDMUCA6LM4UKTTU6PNQIOVQB2L}

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	2026-07-05T09:53:23.022558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88d94103cb6728a9ce9e7b60875601d2dd70b767562e3554906bae636030aeab

Aliases

arxiv: 2412.17475 · arxiv_version: 2412.17475v1 · doi: 10.48550/arxiv.2412.17475 · pith_short_12: RDMUCA6LM4UK · pith_short_16: RDMUCA6LM4UKTTU6 · pith_short_8: RDMUCA6L

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/RDMUCA6LM4UKTTU6PNQIOVQB2L \
  | 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: 88d94103cb6728a9ce9e7b60875601d2dd70b767562e3554906bae636030aeab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431293659d0e487bbdd9f9fc3500062ad23e6fb31320883449c9f16512a3f3df",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-23T11:00:34Z",
    "title_canon_sha256": "c1cc74e622dfa974b4e94fe037c29975266f7d21c25774c2844bb025175199a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17475",
    "kind": "arxiv",
    "version": 1
  }
}