Pith Number

pith:MZ47T6PS

pith:2016:MZ47T6PSDBK56UMUERAYOYS6V2

not attested not anchored not stored refs pending

Symmetries in some extremal problems between two parallel hyperplanes

Monica Moulin Ribeiro Merkle

arxiv:1601.02959 v1 · 2016-01-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZ47T6PSDBK56UMUERAYOYS6V2}

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	2026-05-18T01:22:59.242502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6679f9f9f21855df5194244187625eaea6c9f5034c1d1becb171e64ab5d4fdf7

Aliases

arxiv: 1601.02959 · arxiv_version: 1601.02959v1 · doi: 10.48550/arxiv.1601.02959 · pith_short_12: MZ47T6PSDBK5 · pith_short_16: MZ47T6PSDBK56UMU · pith_short_8: MZ47T6PS

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/MZ47T6PSDBK56UMUERAYOYS6V2 \
  | 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: 6679f9f9f21855df5194244187625eaea6c9f5034c1d1becb171e64ab5d4fdf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d3c49790a8aaaf028e5a8d6f70a4c4b9f8b51cfe9de455b30a2e628ff4c15b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-12T17:03:03Z",
    "title_canon_sha256": "ae36a60bba0dfcefb35f64a8f3adfffc323a64e93e147658d24da3aba622a93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02959",
    "kind": "arxiv",
    "version": 1
  }
}