Pith Number

pith:O3UARTHO

pith:2015:O3UARTHOKPUSPC2PPQX4LRNJWB

not attested not anchored not stored refs pending

Regularity of harmonic discs in spaces with quadratic isoperimetric inequality

Alexander Lytchak, Stefan Wenger

arxiv:1512.01060 v1 · 2015-12-03 · math.AP · 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{O3UARTHOKPUSPC2PPQX4LRNJWB}

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	2026-05-18T01:25:19.034424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76e808ccee53e9278b4f7c2fc5c5a9b05ed6753518b75f98a07f69c82ac4f481

Aliases

arxiv: 1512.01060 · arxiv_version: 1512.01060v1 · doi: 10.48550/arxiv.1512.01060 · pith_short_12: O3UARTHOKPUS · pith_short_16: O3UARTHOKPUSPC2P · pith_short_8: O3UARTHO

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/O3UARTHOKPUSPC2PPQX4LRNJWB \
  | 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: 76e808ccee53e9278b4f7c2fc5c5a9b05ed6753518b75f98a07f69c82ac4f481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa69ba9ec78630e8eaab7dac961ad91bfa867abb1e9cc4e79c4fb3f2cc9fb7b9",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-03T12:37:42Z",
    "title_canon_sha256": "dd8ab7ed3fd8af4f7ce9a91f5e0134a381c7b84f42ee57cbe580db534a12d55c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01060",
    "kind": "arxiv",
    "version": 1
  }
}