Pith Number

pith:AEYZTSPN

pith:2013:AEYZTSPNPIPEK745GTQRVD2XT6

not attested not anchored not stored refs pending

Bi-Lipschitz A-equivalence of K-equivalent map germs

Joao Carlos Ferreira Costa, Maria Aparecida Soares Ruas, Takashi Nishimura

arxiv:1302.4778 v1 · 2013-02-20 · math.AG · 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{AEYZTSPNPIPEK745GTQRVD2XT6}

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	2026-05-18T03:33:11.084084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

013199c9ed7a1e457f9d34e11a8f579f993ca8fc37bc25161b5cfba6c2166daf

Aliases

arxiv: 1302.4778 · arxiv_version: 1302.4778v1 · doi: 10.48550/arxiv.1302.4778 · pith_short_12: AEYZTSPNPIPE · pith_short_16: AEYZTSPNPIPEK745 · pith_short_8: AEYZTSPN

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/AEYZTSPNPIPEK745GTQRVD2XT6 \
  | 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: 013199c9ed7a1e457f9d34e11a8f579f993ca8fc37bc25161b5cfba6c2166daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31aa339c66a487c4e4175f49597985c52a5c98299c64e573772db4e639068b92",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-20T00:01:39Z",
    "title_canon_sha256": "ed925c26078d8028dd545601e49a555ca0a8e8f3122062ef532c44fd792ed40e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4778",
    "kind": "arxiv",
    "version": 1
  }
}