Pith Number

pith:GMQ3KUMX

pith:2016:GMQ3KUMXG7IVEFPBHWINVVZXFG

not attested not anchored not stored refs pending

Applications of Steiner symmetrization to some extremal problems in geometric function theory

Ronen Peretz

arxiv:1607.01674 v1 · 2016-07-06 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMQ3KUMXG7IVEFPBHWINVVZXFG}

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	2026-05-18T01:11:25.699985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3321b5519737d15215e13d90dad73729b65d129c491161636c04b4aff2b55acc

Aliases

arxiv: 1607.01674 · arxiv_version: 1607.01674v1 · doi: 10.48550/arxiv.1607.01674 · pith_short_12: GMQ3KUMXG7IV · pith_short_16: GMQ3KUMXG7IVEFPB · pith_short_8: GMQ3KUMX

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/GMQ3KUMXG7IVEFPBHWINVVZXFG \
  | 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: 3321b5519737d15215e13d90dad73729b65d129c491161636c04b4aff2b55acc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3403ab2b6124569ffb0a1a058b67ce1e99bccd1bf5081edbd2fbddea1421d0cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-07-06T15:32:58Z",
    "title_canon_sha256": "860ce84ea128eed21aaecee7f38471944881e4269bf9f547ff1197241834564d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01674",
    "kind": "arxiv",
    "version": 1
  }
}