Pith Number

pith:5UNR4I6A

pith:2025:5UNR4I6AGZ6BSQ3ADW2XGVAXRE

not attested not anchored not stored refs pending

Global invertibility of Sobolev mappings with prescribed homeomorphic boundary values

Sabrina Traver (Syracuse University)

arxiv:2507.07206 v2 · 2025-07-09 · math.AP · 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{5UNR4I6AGZ6BSQ3ADW2XGVAXRE}

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	2026-05-25T02:01:05.477673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1b1e23c0367c1943601db5735417893e768cac31f4a70abc5157c5672d2266

Aliases

arxiv: 2507.07206 · arxiv_version: 2507.07206v2 · doi: 10.48550/arxiv.2507.07206 · pith_short_12: 5UNR4I6AGZ6B · pith_short_16: 5UNR4I6AGZ6BSQ3A · pith_short_8: 5UNR4I6A

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/5UNR4I6AGZ6BSQ3ADW2XGVAXRE \
  | 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: ed1b1e23c0367c1943601db5735417893e768cac31f4a70abc5157c5672d2266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa80404044ecc3ea711cca2bdabb92e8b64de41ed1987f6caec12e7847b06b0a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-09T18:29:55Z",
    "title_canon_sha256": "1fdc0efaa120e73ce90ca4d6166978b103af9c2dd549fc3e69f9c7e2fe192369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07206",
    "kind": "arxiv",
    "version": 2
  }
}