Pith Number

pith:BDQUMYUC

pith:2019:BDQUMYUC3EYK3SS26HUOYAVGVQ

not attested not anchored not stored refs pending

A homogeneous decomposition theorem for valuations on convex functions

A. Colesanti, F. Mussnig, M. Ludwig

arxiv:1908.10724 v1 · 2019-08-28 · math.MG · 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{BDQUMYUC3EYK3SS26HUOYAVGVQ}

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	2026-07-05T01:02:43.792406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e1466282d930adca5af1e8ec02a6ac0504efac0f1edc3e47b7a0b64dfc78c5

Aliases

arxiv: 1908.10724 · arxiv_version: 1908.10724v1 · doi: 10.48550/arxiv.1908.10724 · pith_short_12: BDQUMYUC3EYK · pith_short_16: BDQUMYUC3EYK3SS2 · pith_short_8: BDQUMYUC

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/BDQUMYUC3EYK3SS26HUOYAVGVQ \
  | 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: 08e1466282d930adca5af1e8ec02a6ac0504efac0f1edc3e47b7a0b64dfc78c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6abcaba2ee28afdf8cfce67b80f5a615c00a185d50e8895af6127af1ecb4d8ae",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-28T13:52:53Z",
    "title_canon_sha256": "b0cdedd90cfdd6379bee99617517bfb66641f00aa92ef4e959359beb1bf9c398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10724",
    "kind": "arxiv",
    "version": 1
  }
}