Pith Number

pith:W5PQKL7O

pith:2023:W5PQKL7OZRU5V2J476MCRDJC6V

not attested not anchored not stored refs pending

Convex valuations, from Whitney to Nash

Dmitry Faifman, Georg C. Hofst\"atter

arxiv:2306.07390 v2 · 2023-06-12 · math.DG · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5PQKL7OZRU5V2J476MCRDJC6V}

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

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions

Receipt and verification

First computed	2026-07-05T10:12:12.961934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75f052feecc69dae93cff98288d22f56fac58aaff89e9cc0d43a2b78e36cfcb

Aliases

arxiv: 2306.07390 · arxiv_version: 2306.07390v2 · doi: 10.48550/arxiv.2306.07390 · pith_short_12: W5PQKL7OZRU5 · pith_short_16: W5PQKL7OZRU5V2J4 · pith_short_8: W5PQKL7O

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/W5PQKL7OZRU5V2J476MCRDJC6V \
  | 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: b75f052feecc69dae93cff98288d22f56fac58aaff89e9cc0d43a2b78e36cfcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dfdc5cf526f38c504a7e70c3dc83246797036e03be3f8f6e091573017c06961",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-06-12T19:39:26Z",
    "title_canon_sha256": "a62b23778b53c48bf2c370461e5e7782fccf59025cab4d1407c393b4f1fe29f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.07390",
    "kind": "arxiv",
    "version": 2
  }
}