Pith Number

pith:GGKHSYBJ

pith:2018:GGKHSYBJUTNYFO4V4VP3HMQ4I5

not attested not anchored not stored refs pending

An implicit function theorem for Lipschitz mappings into metric spaces

Piotr Haj{\l}asz, Scott Zimmerman

arxiv:1809.06829 v3 · 2018-09-18 · math.GT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGKHSYBJUTNYFO4V4VP3HMQ4I5}

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	2026-05-17T23:50:38.470875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3194796029a4db82bb95e55fb3b21c47555eb264355f21d18a2925df07a88522

Aliases

arxiv: 1809.06829 · arxiv_version: 1809.06829v3 · doi: 10.48550/arxiv.1809.06829 · pith_short_12: GGKHSYBJUTNY · pith_short_16: GGKHSYBJUTNYFO4V · pith_short_8: GGKHSYBJ

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/GGKHSYBJUTNYFO4V4VP3HMQ4I5 \
  | 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: 3194796029a4db82bb95e55fb3b21c47555eb264355f21d18a2925df07a88522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "687a6900da1c4844e4465410d9f2c15d901c7883bf2f5d10d7c2425d35ec728e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-09-18T16:57:56Z",
    "title_canon_sha256": "b234296accc6b0ad039306a88800904b7dd33d687820f097a10e53f480a79f86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06829",
    "kind": "arxiv",
    "version": 3
  }
}