Pith Number

pith:6SVZXGHG

pith:2019:6SVZXGHG4KDNHTI6RYQR24BGYV

not attested not anchored not stored refs pending

Geometric equivalence among smooth map germs

Hiroshi Teramoto, Masatomo Takahashi, Shyuichi Izumiya

arxiv:1908.08232 v1 · 2019-08-22 · 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{6SVZXGHG4KDNHTI6RYQR24BGYV}

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	2026-07-04T23:59:10.806022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ab9b98e6e286d3cd1e8e211d7026c55d339d3ed9f44180c9ca3805815c68ae

Aliases

arxiv: 1908.08232 · arxiv_version: 1908.08232v1 · doi: 10.48550/arxiv.1908.08232 · pith_short_12: 6SVZXGHG4KDN · pith_short_16: 6SVZXGHG4KDNHTI6 · pith_short_8: 6SVZXGHG

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/6SVZXGHG4KDNHTI6RYQR24BGYV \
  | 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: f4ab9b98e6e286d3cd1e8e211d7026c55d339d3ed9f44180c9ca3805815c68ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ebeba6bf4b433a19903b99344beff660766d4687e0c1414f94a6a31ab17b055",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-22T07:18:47Z",
    "title_canon_sha256": "8b1d24f803b598267c31f74ee380b310b997409ba973a616ab354e4b170bfd2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08232",
    "kind": "arxiv",
    "version": 1
  }
}