Pith Number

pith:4CUSUA2H

pith:2018:4CUSUA2HWAFH7OXJP34NW3ULNR

not attested not anchored not stored refs pending

The $L_p$ Aleksandrov problem for origin-symmetric polytopes

Yiming Zhao

arxiv:1803.10839 v1 · 2018-03-28 · 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{4CUSUA2HWAFH7OXJP34NW3ULNR}

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	2026-05-18T00:19:50.052136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a92a0347b00a7fbae97ef8db6e8b6c4027de4cffe7ca9b27c2a41cf22945cc

Aliases

arxiv: 1803.10839 · arxiv_version: 1803.10839v1 · doi: 10.48550/arxiv.1803.10839 · pith_short_12: 4CUSUA2HWAFH · pith_short_16: 4CUSUA2HWAFH7OXJ · pith_short_8: 4CUSUA2H

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/4CUSUA2HWAFH7OXJP34NW3ULNR \
  | 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: e0a92a0347b00a7fbae97ef8db6e8b6c4027de4cffe7ca9b27c2a41cf22945cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a63bc90ef0f0115dc000a73f32fa209fa7383f79853a5e551e5ffb8c3a397620",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-03-28T20:25:32Z",
    "title_canon_sha256": "f8e6285dad3ac6678652d652158ab15c6e1cbf30ec1703ff1657f4f0f5084a2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10839",
    "kind": "arxiv",
    "version": 1
  }
}