Pith Number

pith:3XIXUVT3

pith:2016:3XIXUVT3YNIWR2J44WPHEBZZNW

not attested not anchored not stored refs pending

Equivariant min-max theory

Daniel Ketover

arxiv:1612.08692 v1 · 2016-12-27 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XIXUVT3YNIWR2J44WPHEBZZNW}

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

Infinite existence of equivariant minimal hypersurfaces

Receipt and verification

First computed	2026-05-18T00:53:52.359650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd17a567bc35168e93ce59e7207396dadfa02e9cd813626a685b6f3bc2a6055

Aliases

arxiv: 1612.08692 · arxiv_version: 1612.08692v1 · doi: 10.48550/arxiv.1612.08692 · pith_short_12: 3XIXUVT3YNIW · pith_short_16: 3XIXUVT3YNIWR2J4 · pith_short_8: 3XIXUVT3

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/3XIXUVT3YNIWR2J44WPHEBZZNW \
  | 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: ddd17a567bc35168e93ce59e7207396dadfa02e9cd813626a685b6f3bc2a6055

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c74b69f12a8c276ff769c935f4101c8a5e3ebc653bfe0e9451f25d621e1cc0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-27T18:08:00Z",
    "title_canon_sha256": "6e433090f142ada5577c9ef5b36da4a9395a60ce9f2f3ca130cc594340464254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08692",
    "kind": "arxiv",
    "version": 1
  }
}