Pith Number

pith:4PQPE7IH

pith:2022:4PQPE7IHGUVMVG36LLJKOPMQFG

not attested not anchored not stored refs pending

Formalising the $h$-principle and sphere eversion

Floris van Doorn, Oliver Nash, Patrick Massot

arxiv:2210.07746 v1 · 2022-10-14 · cs.LO · 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{4PQPE7IHGUVMVG36LLJKOPMQFG}

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.

Cited by

1 paper in Pith

Formalization of De Giorgi--Nash--Moser Theory in Lean

Receipt and verification

First computed	2026-07-05T05:06:40.524608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e0f27d07352aca9b7e5ad2a73d902986466e01ac33d2d388117a1316b4df55

Aliases

arxiv: 2210.07746 · arxiv_version: 2210.07746v1 · doi: 10.48550/arxiv.2210.07746 · pith_short_12: 4PQPE7IHGUVM · pith_short_16: 4PQPE7IHGUVMVG36 · pith_short_8: 4PQPE7IH

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/4PQPE7IHGUVMVG36LLJKOPMQFG \
  | 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: e3e0f27d07352aca9b7e5ad2a73d902986466e01ac33d2d388117a1316b4df55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edd222b6554234babf5c3fc38d77f8f0a2d1906823859e5caba0e696acb931dc",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2022-10-14T12:33:41Z",
    "title_canon_sha256": "d2b74324db5af1475034454b6ab3589bf1decd4f3711b138809c61e4605935fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.07746",
    "kind": "arxiv",
    "version": 1
  }
}