Pith Number

pith:IZA3VV6B

pith:2012:IZA3VV6BMLL2FK7VGXTPM7ZYJH

not attested not anchored not stored refs pending

The Nash modifications and the bi-Lipschitz equivalence

A. Fernandes, J.-P. Brasselet, M. A. S. Ruas, N. G. Grulha Jr

arxiv:1206.5153 v2 · 2012-06-22 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZA3VV6BMLL2FK7VGXTPM7ZYJH}

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	2026-05-18T03:49:57.803281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4641bad7c162d7a2abf535e6f67f3849f4be9d45718a74d56775cdfbe99718c3

Aliases

arxiv: 1206.5153 · arxiv_version: 1206.5153v2 · doi: 10.48550/arxiv.1206.5153 · pith_short_12: IZA3VV6BMLL2 · pith_short_16: IZA3VV6BMLL2FK7V · pith_short_8: IZA3VV6B

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/IZA3VV6BMLL2FK7VGXTPM7ZYJH \
  | 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: 4641bad7c162d7a2abf535e6f67f3849f4be9d45718a74d56775cdfbe99718c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db985b965b6cd422c49f362862dd94cdbe68cf777cd44926b0284126323cc7ff",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-22T14:12:49Z",
    "title_canon_sha256": "06aa390957f84f86c9c4b182bfb84f0f1579038850a6bfe8b1f27dd89cdfc9d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5153",
    "kind": "arxiv",
    "version": 2
  }
}