Pith Number

pith:PWCMEYPX

pith:2017:PWCMEYPXXK3AP7GI4HEQUBMSRP

not attested not anchored not stored refs pending

Positivity of valuations on convex bodies and invariant valuations by linear actions

Jian Xiao, Nguyen-Bac Dang

arxiv:1709.08304 v3 · 2017-09-25 · math.DG · math.DS · 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{PWCMEYPXXK3AP7GI4HEQUBMSRP}

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	2026-05-17T23:50:38.841136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d84c261f7bab607fcc8e1c90a05928be9e5077b525c5b89bb115711961c0b2b

Aliases

arxiv: 1709.08304 · arxiv_version: 1709.08304v3 · doi: 10.48550/arxiv.1709.08304 · pith_short_12: PWCMEYPXXK3A · pith_short_16: PWCMEYPXXK3AP7GI · pith_short_8: PWCMEYPX

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/PWCMEYPXXK3AP7GI4HEQUBMSRP \
  | 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: 7d84c261f7bab607fcc8e1c90a05928be9e5077b525c5b89bb115711961c0b2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1033c235d7388b2c1e79f1d46191a15ac3417753165f27b41c1533da3a0fd4a0",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-25T03:33:07Z",
    "title_canon_sha256": "7da62bb41fc3f39224eb478a3f131a4a7de5a8a8c819f2523fa0f2ba098972e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08304",
    "kind": "arxiv",
    "version": 3
  }
}