Pith Number

pith:CSO2HTXL

pith:2018:CSO2HTXL5DF6UMDKBUSPLHYTKI

not attested not anchored not stored refs pending

Singularities of Gauss maps of wave fronts with non-degenerate singular points

Keisuke Teramoto

arxiv:1806.08140 v1 · 2018-06-21 · 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{CSO2HTXL5DF6UMDKBUSPLHYTKI}

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	2026-05-18T00:12:41.914406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

149da3ceebe8cbea306a0d24f59f13520083c1bcdfb2ea4d28898cb58d25daa1

Aliases

arxiv: 1806.08140 · arxiv_version: 1806.08140v1 · doi: 10.48550/arxiv.1806.08140 · pith_short_12: CSO2HTXL5DF6 · pith_short_16: CSO2HTXL5DF6UMDK · pith_short_8: CSO2HTXL

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/CSO2HTXL5DF6UMDKBUSPLHYTKI \
  | 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: 149da3ceebe8cbea306a0d24f59f13520083c1bcdfb2ea4d28898cb58d25daa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d6a310c0c2493d204118699dbacb41ad1eeb45a91ae96cc3a7d063c3ce9b113",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-06-21T09:41:39Z",
    "title_canon_sha256": "f2ee590426277efaf316c3d194ec3c0488338cb242563cafc87a12d4375dbad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08140",
    "kind": "arxiv",
    "version": 1
  }
}