Pith Number

pith:MZV422VI

pith:2011:MZV422VIQEFQJDTL62IZ6SMNBH

not attested not anchored not stored refs pending

A quantitative version of the Morse lemma and ideal boundary fixing quasiisometries

LM-Orsay), Vladimir Shchur (DMA

arxiv:1110.6630 v2 · 2011-10-30 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZV422VIQEFQJDTL62IZ6SMNBH}

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	2026-05-18T03:32:45.482390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

666bcd6aa8810b048e6bf6919f498d09caec4c873ef02afabc41aad0c735c4ce

Aliases

arxiv: 1110.6630 · arxiv_version: 1110.6630v2 · doi: 10.48550/arxiv.1110.6630 · pith_short_12: MZV422VIQEFQ · pith_short_16: MZV422VIQEFQJDTL · pith_short_8: MZV422VI

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/MZV422VIQEFQJDTL62IZ6SMNBH \
  | 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: 666bcd6aa8810b048e6bf6919f498d09caec4c873ef02afabc41aad0c735c4ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df0e99b059d83fa5b3a28a6eb7f47651f98b266d51ed2f7848759886f2f63e88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-10-30T18:19:03Z",
    "title_canon_sha256": "60f9c9562b19ab568985cf9cc82a538333e0b8f7d6ac9cc3badc767018d1231a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6630",
    "kind": "arxiv",
    "version": 2
  }
}