Pith Number

pith:LRAIWC5H

pith:2026:LRAIWC5HDHOMSY2ZBM6MDFNRWW

not attested not anchored not stored refs pending

The distance between homotopy classes of Sobolev maps on spheres

Paata Ivanisvili, Rupert L. Frank

arxiv:2606.29382 v1 · 2026-06-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRAIWC5HDHOMSY2ZBM6MDFNRWW}

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	2026-06-30T01:18:04.109282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c408b0ba719dcc963590b3cc195b1b5963635834b7cb434dde67596ca5ce55a

Aliases

arxiv: 2606.29382 · arxiv_version: 2606.29382v1 · doi: 10.48550/arxiv.2606.29382 · pith_short_12: LRAIWC5HDHOM · pith_short_16: LRAIWC5HDHOMSY2Z · pith_short_8: LRAIWC5H

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/LRAIWC5HDHOMSY2ZBM6MDFNRWW \
  | 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: 5c408b0ba719dcc963590b3cc195b1b5963635834b7cb434dde67596ca5ce55a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6992cc942fd9464c435413e7b7ecad37159c77f994605d2fcb8e26cbbbc7481d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-28T13:14:34Z",
    "title_canon_sha256": "577846d98f57dded76b79b9bbcccbd6ed085d05ab01575eef78227320f92dbeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29382",
    "kind": "arxiv",
    "version": 1
  }
}