Pith Number

pith:NJ2A5L42

pith:2019:NJ2A5L42J6DOF6B42XTAC2GOGX

not attested not anchored not stored refs pending

Dot product invariant valuations on Lip$(S^{n-1})$

Andrea Colesanti, Daniele Pagnini, Ignacio Villanueva, Pedro Tradacete

arxiv:1906.04118 v2 · 2019-06-10 · math.FA · math.MG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJ2A5L42J6DOF6B42XTAC2GOGX}

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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

A homogeneous decomposition theorem for valuations on convex functions

Receipt and verification

First computed	2026-07-04T23:59:33.044592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a740eaf9a4f86e2f83cd5e60168ce35d2246e395c8d3b0c9477dd5d57438600

Aliases

arxiv: 1906.04118 · arxiv_version: 1906.04118v2 · doi: 10.48550/arxiv.1906.04118 · pith_short_12: NJ2A5L42J6DO · pith_short_16: NJ2A5L42J6DOF6B4 · pith_short_8: NJ2A5L42

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/NJ2A5L42J6DOF6B42XTAC2GOGX \
  | 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: 6a740eaf9a4f86e2f83cd5e60168ce35d2246e395c8d3b0c9477dd5d57438600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de4ec68486544f059678ceb5f1e65ff386693f8cb941402f2e44eebde63398a7",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-10T16:50:06Z",
    "title_canon_sha256": "54931c36d07f77269b107dd28cff8fcead4cb2d2b099a106c2cc65259c285edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04118",
    "kind": "arxiv",
    "version": 2
  }
}