Pith Number

pith:ZELAUXOL

pith:2012:ZELAUXOLEEBUMJIEESKODXK74D

not attested not anchored not stored refs pending

Minimality of planes in normed spaces

Dmitri Burago, Sergei Ivanov

arxiv:1204.1543 v2 · 2012-04-06 · 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{ZELAUXOLEEBUMJIEESKODXK74D}

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	2026-05-18T03:06:05.063625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9160a5dcb21034625042494e1dd5fe0dc2665a3dae4f1d6cf58bbe4f7655a60

Aliases

arxiv: 1204.1543 · arxiv_version: 1204.1543v2 · doi: 10.48550/arxiv.1204.1543 · pith_short_12: ZELAUXOLEEBU · pith_short_16: ZELAUXOLEEBUMJIE · pith_short_8: ZELAUXOL

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/ZELAUXOLEEBUMJIEESKODXK74D \
  | 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: c9160a5dcb21034625042494e1dd5fe0dc2665a3dae4f1d6cf58bbe4f7655a60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8336384a8a762c38da83c8656d7efae55c335057ad2497cbbd34e1d8b1b56af6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-04-06T19:31:30Z",
    "title_canon_sha256": "2d38fbfd993191941fd6e39d92954a52c75b9bd61f6944682bc6cf2d8746e3d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1543",
    "kind": "arxiv",
    "version": 2
  }
}