Pith Number

pith:CNKKMAOI

pith:2018:CNKKMAOID7AEA2RIOOIEEYKFOL

not attested not anchored not stored refs pending

Existence of infinitely many minimal hypersurfaces in closed manifolds

Antoine Song

arxiv:1806.08816 v2 · 2018-06-22 · math.DG · math.AP · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CNKKMAOID7AEA2RIOOIEEYKFOL}

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.

Cited by

1 paper in Pith

The p-widths of $RP^2$

Receipt and verification

First computed	2026-07-05T05:42:16.094035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1354a601c81fc0406a28739042614572db9e534c8cc3f8b672d7c0086618cf69

Aliases

arxiv: 1806.08816 · arxiv_version: 1806.08816v2 · doi: 10.48550/arxiv.1806.08816 · pith_short_12: CNKKMAOID7AE · pith_short_16: CNKKMAOID7AEA2RI · pith_short_8: CNKKMAOI

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/CNKKMAOID7AEA2RIOOIEEYKFOL \
  | 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: 1354a601c81fc0406a28739042614572db9e534c8cc3f8b672d7c0086618cf69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a03c8852fe1e6d9b1f22298bd758e83ce904d46162310bcafe961e236d52b4",
    "cross_cats_sorted": [
      "math.AP",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-06-22T18:41:26Z",
    "title_canon_sha256": "d5e2c414e89fa2ecb231f00a3bf5cd523730e6c803d648bdf7e922ba4022f179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08816",
    "kind": "arxiv",
    "version": 2
  }
}