Pith Number

pith:66AN63V5

pith:2017:66AN63V5DRVRGXR3EABB6ZGQWA

not attested not anchored not stored refs pending

Density of minimal hypersurfaces for generic metrics

Andr\'e Neves, Fernando C. Marques, Kei Irie

arxiv:1710.10752 v2 · 2017-10-30 · 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{66AN63V5DRVRGXR3EABB6ZGQWA}

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	2026-05-18T00:23:58.795596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f780df6ebd1c6b135e3b20021f64d0b03f64d6e30089cdb1310826fa851ca713

Aliases

arxiv: 1710.10752 · arxiv_version: 1710.10752v2 · doi: 10.48550/arxiv.1710.10752 · pith_short_12: 66AN63V5DRVR · pith_short_16: 66AN63V5DRVRGXR3 · pith_short_8: 66AN63V5

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/66AN63V5DRVRGXR3EABB6ZGQWA \
  | 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: f780df6ebd1c6b135e3b20021f64d0b03f64d6e30089cdb1310826fa851ca713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aefea6b9a8a2fc0b89bb0f033160682581a9fdda0d8b972a8c83b0df926cfa54",
    "cross_cats_sorted": [
      "math.AP",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-30T03:21:06Z",
    "title_canon_sha256": "861bc3bac7702bde44ed5ac2352bd9656d174ffc2d286574fe7357524dd18b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10752",
    "kind": "arxiv",
    "version": 2
  }
}