Pith Number

pith:W4DEQCCU

pith:2023:W4DEQCCU3RQ2DEZPEFUOSXUJNK

not attested not anchored not stored refs pending

A general splitting principle on RCD spaces and applications to spaces with positive spectrum

Fabio Marconi, Nicola Gigli

arxiv:2312.06252 v1 · 2023-12-11 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4DEQCCU3RQ2DEZPEFUOSXUJNK}

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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

Warped products over one-dimensional base spaces and the RCD condition

Receipt and verification

First computed	2026-07-05T07:22:41.429439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b706480854dc61a1932f2168e95e896aa213739e53a0b6bc7b9bab1d83a347fe

Aliases

arxiv: 2312.06252 · arxiv_version: 2312.06252v1 · doi: 10.48550/arxiv.2312.06252 · pith_short_12: W4DEQCCU3RQ2 · pith_short_16: W4DEQCCU3RQ2DEZP · pith_short_8: W4DEQCCU

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/W4DEQCCU3RQ2DEZPEFUOSXUJNK \
  | 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: b706480854dc61a1932f2168e95e896aa213739e53a0b6bc7b9bab1d83a347fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52bc85342fc2be8dc1eb4ba751c7427fce0fed682ab0715f7058d68e465caae0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-12-11T09:49:17Z",
    "title_canon_sha256": "c0c373ad02b565cae9c1e6869165f34f2d53679af8b5677a2d59509174f9c69c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.06252",
    "kind": "arxiv",
    "version": 1
  }
}