Pith Number

pith:XQ3X5ALI

pith:2011:XQ3X5ALIBMAAVKE3RPPTW7Y45A

not attested not anchored not stored refs pending

On harmonic quasiconformal immersions of surfaces in $\mathbb{R}^3$

Antonio Alarcon, Francisco J. Lopez

arxiv:1102.4260 v2 · 2011-02-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQ3X5ALIBMAAVKE3RPPTW7Y45A}

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	2026-05-18T04:19:03.188544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc377e81680b000aa89b8bdf3b7f1ce8174e022531d42814919995aa6d8ac06a

Aliases

arxiv: 1102.4260 · arxiv_version: 1102.4260v2 · doi: 10.48550/arxiv.1102.4260 · pith_short_12: XQ3X5ALIBMAA · pith_short_16: XQ3X5ALIBMAAVKE3 · pith_short_8: XQ3X5ALI

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/XQ3X5ALIBMAAVKE3RPPTW7Y45A \
  | 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: bc377e81680b000aa89b8bdf3b7f1ce8174e022531d42814919995aa6d8ac06a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ce94a2060e79b7e2c2d568d901b169f7f09cce4f009e25ca83d635f3faf333",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-21T15:47:57Z",
    "title_canon_sha256": "29f9e24b67d1010d2ad2b7cc03c84d6be9552b582f077288b5e54aedec1eb847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4260",
    "kind": "arxiv",
    "version": 2
  }
}