Pith Number

pith:4DMBQDXZ

pith:2015:4DMBQDXZRU2LAUG75GKMMOLG2M

not attested not anchored not stored refs pending

A measure and orientation preserving homeomorphism with approximate Jacobian equal $-1$ almost everywhere

Pawe{\l} Goldstein, Piotr Haj{\l}asz

arxiv:1510.05575 v2 · 2015-10-19 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DMBQDXZRU2LAUG75GKMMOLG2M}

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	2026-05-18T00:52:23.759471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d8180ef98d34b050dfe994c63966d328e3fb7591d91e0e96eeed7586881140

Aliases

arxiv: 1510.05575 · arxiv_version: 1510.05575v2 · doi: 10.48550/arxiv.1510.05575 · pith_short_12: 4DMBQDXZRU2L · pith_short_16: 4DMBQDXZRU2LAUG7 · pith_short_8: 4DMBQDXZ

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/4DMBQDXZRU2LAUG75GKMMOLG2M \
  | 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: e0d8180ef98d34b050dfe994c63966d328e3fb7591d91e0e96eeed7586881140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "564e5716be18d3e791f7b807aaeb2b5c5eee56ab99ef74f007e85ab89abeaba8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-19T16:38:55Z",
    "title_canon_sha256": "dd9e031ad16d951d93c287f65bd4260f35500bf5fb5fa18c142f865c198bb32a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05575",
    "kind": "arxiv",
    "version": 2
  }
}