Pith Number

pith:76XBMJCF

pith:2016:76XBMJCF3UETGQ6ZO7LXKH4KL6

not attested not anchored not stored refs pending

Equivalence of quasiregular mappings on subRiemannian manifolds via the Popp extension

Chang-Yu Guo, Tony Liimatainen

arxiv:1605.00916 v1 · 2016-05-03 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76XBMJCF3UETGQ6ZO7LXKH4KL6}

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	2026-05-18T01:15:47.680785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffae162445dd093343d977d7751f8a5f9f2d550072de8eda63f9f6c790f68c1a

Aliases

arxiv: 1605.00916 · arxiv_version: 1605.00916v1 · doi: 10.48550/arxiv.1605.00916 · pith_short_12: 76XBMJCF3UET · pith_short_16: 76XBMJCF3UETGQ6Z · pith_short_8: 76XBMJCF

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/76XBMJCF3UETGQ6ZO7LXKH4KL6 \
  | 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: ffae162445dd093343d977d7751f8a5f9f2d550072de8eda63f9f6c790f68c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f77efb5702bfbaf59bc85374533a598802248973ea0989cd9052a2529be9b43",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-03T14:12:05Z",
    "title_canon_sha256": "747ea34545195e944bc0e693088617e5f1a554cc9da764a6cc68b83f4f529a56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00916",
    "kind": "arxiv",
    "version": 1
  }
}