Pith Number

pith:RI6LNGHQ

pith:2019:RI6LNGHQMFFGE37B3VLHBYVYRD

not attested not anchored not stored refs pending

Equimultiplicity of families of map germs from $\mathbb{C}^2$ to $\mathbb{C}^3$

Otoniel Nogueira da Silva

arxiv:1902.05139 v2 · 2019-02-13 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RI6LNGHQMFFGE37B3VLHBYVYRD}

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	2026-05-17T23:42:48.442740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a3cb698f0614a626fe1dd5670e2b888fc69ad4a0c5792b32aee6a8154ec1128

Aliases

arxiv: 1902.05139 · arxiv_version: 1902.05139v2 · doi: 10.48550/arxiv.1902.05139 · pith_short_12: RI6LNGHQMFFG · pith_short_16: RI6LNGHQMFFGE37B · pith_short_8: RI6LNGHQ

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/RI6LNGHQMFFGE37B3VLHBYVYRD \
  | 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: 8a3cb698f0614a626fe1dd5670e2b888fc69ad4a0c5792b32aee6a8154ec1128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f437e1cb44080749c2808b15e0b7830bd89abd7e3debaa321124fd01bf8d18cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-13T21:45:26Z",
    "title_canon_sha256": "1543585232ae71e259bfe0e92812394f98429546ddcf3357041adf5a8ce1eb1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05139",
    "kind": "arxiv",
    "version": 2
  }
}