Pith Number

pith:TZN6A6XP

pith:2013:TZN6A6XPG57JYVZY5D6IC5AKWQ

not attested not anchored not stored refs pending

Sharpening Geometric Inequalities using Computable Symmetry Measures

Ren\'e Brandenberg, Stefan K\"onig

arxiv:1310.4368 v4 · 2013-10-16 · math.MG · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZN6A6XPG57JYVZY5D6IC5AKWQ}

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	2026-05-18T02:31:38.375345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5be07aef377e9c5738e8fc81740ab438fc8905914a4757f45db9fb8ba6353c

Aliases

arxiv: 1310.4368 · arxiv_version: 1310.4368v4 · doi: 10.48550/arxiv.1310.4368 · pith_short_12: TZN6A6XPG57J · pith_short_16: TZN6A6XPG57JYVZY · pith_short_8: TZN6A6XP

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/TZN6A6XPG57JYVZY5D6IC5AKWQ \
  | 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: 9e5be07aef377e9c5738e8fc81740ab438fc8905914a4757f45db9fb8ba6353c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e687f9c5ffa9a8939027d16b4289d53e28e0184cc16e7f6636bed3f193fd42",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-10-16T13:21:34Z",
    "title_canon_sha256": "68f92762fdb2858d8077fad9c658d8b1e0fe9240dd3197ce0781aae679b8e8f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4368",
    "kind": "arxiv",
    "version": 4
  }
}