Pith Number

pith:WPERLRL3

pith:2019:WPERLRL3IRXUYOYOZ5YVUOBLY6

not attested not anchored not stored refs pending

Quantitative combinatorial geometry for concave functions

Alexander Xue, Pablo Sober\'on, Sherry Sarkar

arxiv:1908.04438 v2 · 2019-08-12 · math.CO · 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{WPERLRL3IRXUYOYOZ5YVUOBLY6}

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	2026-07-05T00:59:53.532765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c915c57b446f4c3b0ecf715a382bc782c6f2605e07212c1dc644fe9ded0b4a

Aliases

arxiv: 1908.04438 · arxiv_version: 1908.04438v2 · doi: 10.48550/arxiv.1908.04438 · pith_short_12: WPERLRL3IRXU · pith_short_16: WPERLRL3IRXUYOYO · pith_short_8: WPERLRL3

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/WPERLRL3IRXUYOYOZ5YVUOBLY6 \
  | 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: b3c915c57b446f4c3b0ecf715a382bc782c6f2605e07212c1dc644fe9ded0b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d2d26c0235357444b97ccd47d30b0458be1c789f13c2a0184abb9421c4bad0d",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-12T23:30:36Z",
    "title_canon_sha256": "63c6e1648c4059379303d3a8c41bf2ee2b90423fb295445e975921c4df47a7e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04438",
    "kind": "arxiv",
    "version": 2
  }
}