Pith Number

pith:MMFWX4T7

pith:2017:MMFWX4T7BLVOKTMKCUCC3RMPBU

not attested not anchored not stored refs pending

Complete flat fronts as hypersurfaces in Euclidean space

Atsufumi Honda

arxiv:1709.02178 v1 · 2017-09-07 · 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{MMFWX4T7BLVOKTMKCUCC3RMPBU}

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	2026-05-18T00:35:49.973653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630b6bf27f0aeae54d8a15042dc58f0d2b24ebfc37630f4afd8783d6e11392f9

Aliases

arxiv: 1709.02178 · arxiv_version: 1709.02178v1 · doi: 10.48550/arxiv.1709.02178 · pith_short_12: MMFWX4T7BLVO · pith_short_16: MMFWX4T7BLVOKTMK · pith_short_8: MMFWX4T7

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/MMFWX4T7BLVOKTMKCUCC3RMPBU \
  | 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: 630b6bf27f0aeae54d8a15042dc58f0d2b24ebfc37630f4afd8783d6e11392f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5502e781146405058f261a2fd35592ab32e7d731cc0a6b361e17dd4c6127cafd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-07T10:53:00Z",
    "title_canon_sha256": "5bb0eea1a8967f6b33e5c82d025f9c174c213d907222cb30fa8b23616b7af2b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02178",
    "kind": "arxiv",
    "version": 1
  }
}